Submission #248575

# Submission time Handle Problem Language Result Execution time Memory
248575 2020-07-12T18:46:35 Z rqi Bootfall (IZhO17_bootfall) C++14
65 / 100
1000 ms 2168 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;

// typedef pi T;
// const T ID = mp(0, 0);
// const T ONE = mp(1, 1);
// void ad(T &a, T &b){
//     a.f = (ll(a.f)+ll(b.f)) % MOD1;
//     a.s = (ll(a.s)+ll(b.s)) % MOD2;
// }
// void sub(T &a, T &b){
//     a.f = (ll(a.f)-ll(b.f)+MOD1) % MOD1;
//     a.s = (ll(a.s)-ll(b.s)+MOD2) % MOD2;
// }

typedef int T;
const T ID = 0;
const T ONE = 1;
void ad(T &a, T &b){
    a = (ll(a)+ll(b)) % MOD1;
}
void sub(T &a, T &b){
    a = (ll(a)-ll(b)+MOD1) % MOD1;
}

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

 
int main() {
    setIO();
    int N;
    cin >> N;
    int sum = 0;
    for(int i = 1; i <= N; i++){
        cin >> a[i];
        sum+=a[i];
    }
 
    
    tot[0] = ONE;
    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]]);
        }
    }
 
    if(sum % 2 == 1 || tot[sum/2] == ID){
        ps(0);
        return 0;
    }
    
    tot[0] = ONE;
 
    
 
    for(int i = 0; i <= mx2; i++){
        ans[i] = 1;
    }
 
    bitset<mx2+5> works;
    for(int i = 1; i <= N; i++){
        for(int j = 0; j <= mx2; j++){
            works[j] = 0;
            if(j-a[i] >= 0) sub(tot[j], tot[j-a[i]]);
        }
        
        for(int j = 0; j <= mx2; j++){
            int x = j*2-sum+a[i];
            if(tot[j] != ID && x >= 0 && x <= mx2){
                works[x] = 1;
            }
        }

        ans&=works;

        for(int j = mx2; j >= 0; j--){
            if(a[i] > j) continue;
            ad(tot[j], tot[j-a[i]]);
        }
    }
 
    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); }
                         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 14 ms 1408 KB Output is correct
2 Correct 15 ms 1408 KB Output is correct
3 Correct 4 ms 1280 KB Output is correct
4 Correct 10 ms 1408 KB Output is correct
5 Correct 28 ms 1408 KB Output is correct
6 Correct 19 ms 1408 KB Output is correct
7 Correct 15 ms 1408 KB Output is correct
8 Correct 27 ms 1408 KB Output is correct
9 Correct 23 ms 1408 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 14 ms 1408 KB Output is correct
2 Correct 15 ms 1408 KB Output is correct
3 Correct 4 ms 1280 KB Output is correct
4 Correct 10 ms 1408 KB Output is correct
5 Correct 28 ms 1408 KB Output is correct
6 Correct 19 ms 1408 KB Output is correct
7 Correct 15 ms 1408 KB Output is correct
8 Correct 27 ms 1408 KB Output is correct
9 Correct 23 ms 1408 KB Output is correct
10 Correct 69 ms 1528 KB Output is correct
11 Correct 68 ms 1400 KB Output is correct
12 Correct 70 ms 1408 KB Output is correct
13 Correct 59 ms 1408 KB Output is correct
14 Correct 63 ms 1408 KB Output is correct
15 Correct 68 ms 1424 KB Output is correct
16 Correct 71 ms 1528 KB Output is correct
17 Correct 42 ms 1408 KB Output is correct
18 Correct 55 ms 1528 KB Output is correct
19 Correct 58 ms 1408 KB Output is correct
20 Correct 64 ms 1408 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 14 ms 1408 KB Output is correct
2 Correct 15 ms 1408 KB Output is correct
3 Correct 4 ms 1280 KB Output is correct
4 Correct 10 ms 1408 KB Output is correct
5 Correct 28 ms 1408 KB Output is correct
6 Correct 19 ms 1408 KB Output is correct
7 Correct 15 ms 1408 KB Output is correct
8 Correct 27 ms 1408 KB Output is correct
9 Correct 23 ms 1408 KB Output is correct
10 Correct 69 ms 1528 KB Output is correct
11 Correct 68 ms 1400 KB Output is correct
12 Correct 70 ms 1408 KB Output is correct
13 Correct 59 ms 1408 KB Output is correct
14 Correct 63 ms 1408 KB Output is correct
15 Correct 68 ms 1424 KB Output is correct
16 Correct 71 ms 1528 KB Output is correct
17 Correct 42 ms 1408 KB Output is correct
18 Correct 55 ms 1528 KB Output is correct
19 Correct 58 ms 1408 KB Output is correct
20 Correct 64 ms 1408 KB Output is correct
21 Correct 136 ms 1420 KB Output is correct
22 Correct 159 ms 1400 KB Output is correct
23 Correct 108 ms 1400 KB Output is correct
24 Correct 201 ms 1428 KB Output is correct
25 Correct 204 ms 1448 KB Output is correct
26 Correct 209 ms 1400 KB Output is correct
27 Correct 209 ms 1400 KB Output is correct
28 Correct 213 ms 1528 KB Output is correct
29 Correct 209 ms 1424 KB Output is correct
30 Correct 207 ms 1400 KB Output is correct
31 Correct 213 ms 1532 KB Output is correct
32 Correct 212 ms 1424 KB Output is correct
33 Correct 212 ms 1400 KB Output is correct
34 Correct 222 ms 1528 KB Output is correct
35 Correct 229 ms 1400 KB Output is correct
36 Correct 222 ms 1400 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 14 ms 1408 KB Output is correct
2 Correct 15 ms 1408 KB Output is correct
3 Correct 4 ms 1280 KB Output is correct
4 Correct 10 ms 1408 KB Output is correct
5 Correct 28 ms 1408 KB Output is correct
6 Correct 19 ms 1408 KB Output is correct
7 Correct 15 ms 1408 KB Output is correct
8 Correct 27 ms 1408 KB Output is correct
9 Correct 23 ms 1408 KB Output is correct
10 Correct 69 ms 1528 KB Output is correct
11 Correct 68 ms 1400 KB Output is correct
12 Correct 70 ms 1408 KB Output is correct
13 Correct 59 ms 1408 KB Output is correct
14 Correct 63 ms 1408 KB Output is correct
15 Correct 68 ms 1424 KB Output is correct
16 Correct 71 ms 1528 KB Output is correct
17 Correct 42 ms 1408 KB Output is correct
18 Correct 55 ms 1528 KB Output is correct
19 Correct 58 ms 1408 KB Output is correct
20 Correct 64 ms 1408 KB Output is correct
21 Correct 136 ms 1420 KB Output is correct
22 Correct 159 ms 1400 KB Output is correct
23 Correct 108 ms 1400 KB Output is correct
24 Correct 201 ms 1428 KB Output is correct
25 Correct 204 ms 1448 KB Output is correct
26 Correct 209 ms 1400 KB Output is correct
27 Correct 209 ms 1400 KB Output is correct
28 Correct 213 ms 1528 KB Output is correct
29 Correct 209 ms 1424 KB Output is correct
30 Correct 207 ms 1400 KB Output is correct
31 Correct 213 ms 1532 KB Output is correct
32 Correct 212 ms 1424 KB Output is correct
33 Correct 212 ms 1400 KB Output is correct
34 Correct 222 ms 1528 KB Output is correct
35 Correct 229 ms 1400 KB Output is correct
36 Correct 222 ms 1400 KB Output is correct
37 Correct 427 ms 1528 KB Output is correct
38 Correct 420 ms 1548 KB Output is correct
39 Correct 524 ms 1400 KB Output is correct
40 Correct 587 ms 1656 KB Output is correct
41 Correct 568 ms 1400 KB Output is correct
42 Correct 531 ms 1656 KB Output is correct
43 Correct 539 ms 1912 KB Output is correct
44 Correct 531 ms 1784 KB Output is correct
45 Correct 540 ms 1912 KB Output is correct
46 Correct 572 ms 1528 KB Output is correct
47 Correct 543 ms 1532 KB Output is correct
48 Correct 551 ms 1784 KB Output is correct
49 Correct 522 ms 1400 KB Output is correct
50 Correct 530 ms 1528 KB Output is correct
51 Correct 145 ms 1280 KB Output is correct
52 Correct 571 ms 1832 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 14 ms 1408 KB Output is correct
2 Correct 15 ms 1408 KB Output is correct
3 Correct 4 ms 1280 KB Output is correct
4 Correct 10 ms 1408 KB Output is correct
5 Correct 28 ms 1408 KB Output is correct
6 Correct 19 ms 1408 KB Output is correct
7 Correct 15 ms 1408 KB Output is correct
8 Correct 27 ms 1408 KB Output is correct
9 Correct 23 ms 1408 KB Output is correct
10 Correct 69 ms 1528 KB Output is correct
11 Correct 68 ms 1400 KB Output is correct
12 Correct 70 ms 1408 KB Output is correct
13 Correct 59 ms 1408 KB Output is correct
14 Correct 63 ms 1408 KB Output is correct
15 Correct 68 ms 1424 KB Output is correct
16 Correct 71 ms 1528 KB Output is correct
17 Correct 42 ms 1408 KB Output is correct
18 Correct 55 ms 1528 KB Output is correct
19 Correct 58 ms 1408 KB Output is correct
20 Correct 64 ms 1408 KB Output is correct
21 Correct 136 ms 1420 KB Output is correct
22 Correct 159 ms 1400 KB Output is correct
23 Correct 108 ms 1400 KB Output is correct
24 Correct 201 ms 1428 KB Output is correct
25 Correct 204 ms 1448 KB Output is correct
26 Correct 209 ms 1400 KB Output is correct
27 Correct 209 ms 1400 KB Output is correct
28 Correct 213 ms 1528 KB Output is correct
29 Correct 209 ms 1424 KB Output is correct
30 Correct 207 ms 1400 KB Output is correct
31 Correct 213 ms 1532 KB Output is correct
32 Correct 212 ms 1424 KB Output is correct
33 Correct 212 ms 1400 KB Output is correct
34 Correct 222 ms 1528 KB Output is correct
35 Correct 229 ms 1400 KB Output is correct
36 Correct 222 ms 1400 KB Output is correct
37 Correct 427 ms 1528 KB Output is correct
38 Correct 420 ms 1548 KB Output is correct
39 Correct 524 ms 1400 KB Output is correct
40 Correct 587 ms 1656 KB Output is correct
41 Correct 568 ms 1400 KB Output is correct
42 Correct 531 ms 1656 KB Output is correct
43 Correct 539 ms 1912 KB Output is correct
44 Correct 531 ms 1784 KB Output is correct
45 Correct 540 ms 1912 KB Output is correct
46 Correct 572 ms 1528 KB Output is correct
47 Correct 543 ms 1532 KB Output is correct
48 Correct 551 ms 1784 KB Output is correct
49 Correct 522 ms 1400 KB Output is correct
50 Correct 530 ms 1528 KB Output is correct
51 Correct 145 ms 1280 KB Output is correct
52 Correct 571 ms 1832 KB Output is correct
53 Correct 639 ms 1760 KB Output is correct
54 Correct 748 ms 1784 KB Output is correct
55 Correct 768 ms 2092 KB Output is correct
56 Correct 661 ms 1808 KB Output is correct
57 Correct 757 ms 2168 KB Output is correct
58 Correct 759 ms 1784 KB Output is correct
59 Correct 758 ms 1912 KB Output is correct
60 Correct 212 ms 1404 KB Output is correct
61 Correct 741 ms 1912 KB Output is correct
62 Correct 697 ms 2012 KB Output is correct
63 Correct 694 ms 2060 KB Output is correct
64 Correct 677 ms 2168 KB Output is correct
65 Correct 676 ms 1424 KB Output is correct
66 Correct 650 ms 1504 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 14 ms 1408 KB Output is correct
2 Correct 15 ms 1408 KB Output is correct
3 Correct 4 ms 1280 KB Output is correct
4 Correct 10 ms 1408 KB Output is correct
5 Correct 28 ms 1408 KB Output is correct
6 Correct 19 ms 1408 KB Output is correct
7 Correct 15 ms 1408 KB Output is correct
8 Correct 27 ms 1408 KB Output is correct
9 Correct 23 ms 1408 KB Output is correct
10 Correct 69 ms 1528 KB Output is correct
11 Correct 68 ms 1400 KB Output is correct
12 Correct 70 ms 1408 KB Output is correct
13 Correct 59 ms 1408 KB Output is correct
14 Correct 63 ms 1408 KB Output is correct
15 Correct 68 ms 1424 KB Output is correct
16 Correct 71 ms 1528 KB Output is correct
17 Correct 42 ms 1408 KB Output is correct
18 Correct 55 ms 1528 KB Output is correct
19 Correct 58 ms 1408 KB Output is correct
20 Correct 64 ms 1408 KB Output is correct
21 Correct 136 ms 1420 KB Output is correct
22 Correct 159 ms 1400 KB Output is correct
23 Correct 108 ms 1400 KB Output is correct
24 Correct 201 ms 1428 KB Output is correct
25 Correct 204 ms 1448 KB Output is correct
26 Correct 209 ms 1400 KB Output is correct
27 Correct 209 ms 1400 KB Output is correct
28 Correct 213 ms 1528 KB Output is correct
29 Correct 209 ms 1424 KB Output is correct
30 Correct 207 ms 1400 KB Output is correct
31 Correct 213 ms 1532 KB Output is correct
32 Correct 212 ms 1424 KB Output is correct
33 Correct 212 ms 1400 KB Output is correct
34 Correct 222 ms 1528 KB Output is correct
35 Correct 229 ms 1400 KB Output is correct
36 Correct 222 ms 1400 KB Output is correct
37 Correct 427 ms 1528 KB Output is correct
38 Correct 420 ms 1548 KB Output is correct
39 Correct 524 ms 1400 KB Output is correct
40 Correct 587 ms 1656 KB Output is correct
41 Correct 568 ms 1400 KB Output is correct
42 Correct 531 ms 1656 KB Output is correct
43 Correct 539 ms 1912 KB Output is correct
44 Correct 531 ms 1784 KB Output is correct
45 Correct 540 ms 1912 KB Output is correct
46 Correct 572 ms 1528 KB Output is correct
47 Correct 543 ms 1532 KB Output is correct
48 Correct 551 ms 1784 KB Output is correct
49 Correct 522 ms 1400 KB Output is correct
50 Correct 530 ms 1528 KB Output is correct
51 Correct 145 ms 1280 KB Output is correct
52 Correct 571 ms 1832 KB Output is correct
53 Correct 639 ms 1760 KB Output is correct
54 Correct 748 ms 1784 KB Output is correct
55 Correct 768 ms 2092 KB Output is correct
56 Correct 661 ms 1808 KB Output is correct
57 Correct 757 ms 2168 KB Output is correct
58 Correct 759 ms 1784 KB Output is correct
59 Correct 758 ms 1912 KB Output is correct
60 Correct 212 ms 1404 KB Output is correct
61 Correct 741 ms 1912 KB Output is correct
62 Correct 697 ms 2012 KB Output is correct
63 Correct 694 ms 2060 KB Output is correct
64 Correct 677 ms 2168 KB Output is correct
65 Correct 676 ms 1424 KB Output is correct
66 Correct 650 ms 1504 KB Output is correct
67 Correct 853 ms 1936 KB Output is correct
68 Correct 306 ms 1372 KB Output is correct
69 Execution timed out 1094 ms 1400 KB Time limit exceeded
70 Halted 0 ms 0 KB -