Submission #1082771

# Submission time Handle Problem Language Result Execution time Memory
1082771 2024-09-01T13:57:19 Z steveonalex Bootfall (IZhO17_bootfall) C++17
100 / 100
757 ms 4280 KB
#include <bits/stdc++.h>
 
using namespace std;
 
typedef long long ll;
typedef unsigned long long ull;
 
#define MASK(i) (1LL << (i))
#define GETBIT(mask, i) (((mask) >> (i)) & 1)
#define ALL(v) (v).begin(), (v).end()
#define block_of_code if(true)
 
ll max(ll a, ll b){return (a > b) ? a : b;}
ll min(ll a, ll b){return (a < b) ? a : b;}
ll gcd(ll a, ll b){return __gcd(a, b);}
ll lcm(ll a, ll b){return a / gcd(a, b) * b;}
 
ll LASTBIT(ll mask){return (mask) & (-mask);}
int pop_cnt(ll mask){return __builtin_popcountll(mask);}
int ctz(ull mask){return __builtin_ctzll(mask);}
int logOf(ull mask){return 63 - __builtin_clzll(mask);}
 
mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
ll rngesus(ll l, ll r){return l + (ull) rng() % (r - l + 1);}
double rngesus_d(double l, double r){
    double cur = rngesus(0, MASK(60) - 1);
    cur /= MASK(60) - 1;
    return l + cur * (r - l);
}
 
template <class T1, class T2>
    bool maximize(T1 &a, T2 b){
        if (a < b) {a = b; return true;}
        return false;
    }
 
template <class T1, class T2>
    bool minimize(T1 &a, T2 b){
        if (a > b) {a = b; return true;}
        return false;
    }
 
template <class T>
    void printArr(T container, string separator = " ", string finish = "\n", ostream &out = cout){
        for(auto item: container) out << item << separator;
        out << finish;
    }
 
template <class T>
    void remove_dup(vector<T> &a){
        sort(ALL(a));
        a.resize(unique(ALL(a)) - a.begin());
    }

const ll MOD = 1000000007LL * 1000000009;

int main(void){
    ios::sync_with_stdio(0);cin.tie(0); cout.tie(0);
    clock_t start = clock();

    int n; cin >> n;
    vector<int> a(n);
    for(int i= 0; i<n; ++i) cin >> a[i];

    int s = 0;
    for(int i: a) s += i;

    vector<ll> dp(s + 1);
    dp[0] = 1;
    for(int i: a){
        for(int j = s; j >= i; --j){
            dp[j] += dp[j - i];
            if (dp[j] >= MOD) dp[j] -= MOD;
        }
    }

    if (s % 2 || dp[s / 2] == 0){
        cout << 0 << "\n";
        return 0;
    }

    vector<int> valid;
    for(int i = 1; i<=s; ++i) valid.push_back(i);

    for(int i: a){
        for(int j = i; j <= s; ++j){
            dp[j] -= dp[j - i];
            if (dp[j] < 0) dp[j] += MOD;
        }
        int _s = s - i;
        vector<int> tmp; tmp.reserve(valid.size());
        for(int j: valid){
            int l = (_s - j), r = (_s + j);
            if (l >= 0 && l % 2 == 0 && dp[l / 2]){
                tmp.push_back(j);
            }
            else if (r <= s * 2 && r % 2 == 0 && dp[r / 2]){
                tmp.push_back(j);
            }
        }
        valid = tmp;

        for(int j = s; j >= i; --j){
            dp[j] += dp[j - i];
            if (dp[j] >= MOD) dp[j] -= MOD;
        }
    }

    cout << valid.size() << "\n";
    printArr(valid);

    cerr << "Time elapsed: " << clock() - start << " ms\n";
    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 2 ms 344 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 4 ms 348 KB Output is correct
25 Correct 4 ms 604 KB Output is correct
26 Correct 5 ms 600 KB Output is correct
27 Correct 3 ms 604 KB Output is correct
28 Correct 3 ms 536 KB Output is correct
29 Correct 3 ms 604 KB Output is correct
30 Correct 3 ms 348 KB Output is correct
31 Correct 4 ms 604 KB Output is correct
32 Correct 3 ms 556 KB Output is correct
33 Correct 3 ms 604 KB Output is correct
34 Correct 3 ms 604 KB Output is correct
35 Correct 3 ms 604 KB Output is correct
36 Correct 4 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 2 ms 344 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 4 ms 348 KB Output is correct
25 Correct 4 ms 604 KB Output is correct
26 Correct 5 ms 600 KB Output is correct
27 Correct 3 ms 604 KB Output is correct
28 Correct 3 ms 536 KB Output is correct
29 Correct 3 ms 604 KB Output is correct
30 Correct 3 ms 348 KB Output is correct
31 Correct 4 ms 604 KB Output is correct
32 Correct 3 ms 556 KB Output is correct
33 Correct 3 ms 604 KB Output is correct
34 Correct 3 ms 604 KB Output is correct
35 Correct 3 ms 604 KB Output is correct
36 Correct 4 ms 348 KB Output is correct
37 Correct 25 ms 836 KB Output is correct
38 Correct 26 ms 860 KB Output is correct
39 Correct 37 ms 1248 KB Output is correct
40 Correct 57 ms 1032 KB Output is correct
41 Correct 47 ms 1500 KB Output is correct
42 Correct 50 ms 952 KB Output is correct
43 Correct 87 ms 1244 KB Output is correct
44 Correct 88 ms 1384 KB Output is correct
45 Correct 95 ms 1264 KB Output is correct
46 Correct 33 ms 856 KB Output is correct
47 Correct 53 ms 1052 KB Output is correct
48 Correct 82 ms 1404 KB Output is correct
49 Correct 60 ms 1248 KB Output is correct
50 Correct 55 ms 1108 KB Output is correct
51 Correct 6 ms 604 KB Output is correct
52 Correct 113 ms 1504 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 2 ms 344 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 4 ms 348 KB Output is correct
25 Correct 4 ms 604 KB Output is correct
26 Correct 5 ms 600 KB Output is correct
27 Correct 3 ms 604 KB Output is correct
28 Correct 3 ms 536 KB Output is correct
29 Correct 3 ms 604 KB Output is correct
30 Correct 3 ms 348 KB Output is correct
31 Correct 4 ms 604 KB Output is correct
32 Correct 3 ms 556 KB Output is correct
33 Correct 3 ms 604 KB Output is correct
34 Correct 3 ms 604 KB Output is correct
35 Correct 3 ms 604 KB Output is correct
36 Correct 4 ms 348 KB Output is correct
37 Correct 25 ms 836 KB Output is correct
38 Correct 26 ms 860 KB Output is correct
39 Correct 37 ms 1248 KB Output is correct
40 Correct 57 ms 1032 KB Output is correct
41 Correct 47 ms 1500 KB Output is correct
42 Correct 50 ms 952 KB Output is correct
43 Correct 87 ms 1244 KB Output is correct
44 Correct 88 ms 1384 KB Output is correct
45 Correct 95 ms 1264 KB Output is correct
46 Correct 33 ms 856 KB Output is correct
47 Correct 53 ms 1052 KB Output is correct
48 Correct 82 ms 1404 KB Output is correct
49 Correct 60 ms 1248 KB Output is correct
50 Correct 55 ms 1108 KB Output is correct
51 Correct 6 ms 604 KB Output is correct
52 Correct 113 ms 1504 KB Output is correct
53 Correct 107 ms 1144 KB Output is correct
54 Correct 125 ms 1388 KB Output is correct
55 Correct 243 ms 2056 KB Output is correct
56 Correct 111 ms 1380 KB Output is correct
57 Correct 253 ms 2296 KB Output is correct
58 Correct 146 ms 1320 KB Output is correct
59 Correct 171 ms 1504 KB Output is correct
60 Correct 15 ms 856 KB Output is correct
61 Correct 192 ms 1760 KB Output is correct
62 Correct 202 ms 1924 KB Output is correct
63 Correct 241 ms 2060 KB Output is correct
64 Correct 206 ms 2100 KB Output is correct
65 Correct 39 ms 1112 KB Output is correct
66 Correct 52 ms 1244 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 2 ms 344 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 4 ms 348 KB Output is correct
25 Correct 4 ms 604 KB Output is correct
26 Correct 5 ms 600 KB Output is correct
27 Correct 3 ms 604 KB Output is correct
28 Correct 3 ms 536 KB Output is correct
29 Correct 3 ms 604 KB Output is correct
30 Correct 3 ms 348 KB Output is correct
31 Correct 4 ms 604 KB Output is correct
32 Correct 3 ms 556 KB Output is correct
33 Correct 3 ms 604 KB Output is correct
34 Correct 3 ms 604 KB Output is correct
35 Correct 3 ms 604 KB Output is correct
36 Correct 4 ms 348 KB Output is correct
37 Correct 25 ms 836 KB Output is correct
38 Correct 26 ms 860 KB Output is correct
39 Correct 37 ms 1248 KB Output is correct
40 Correct 57 ms 1032 KB Output is correct
41 Correct 47 ms 1500 KB Output is correct
42 Correct 50 ms 952 KB Output is correct
43 Correct 87 ms 1244 KB Output is correct
44 Correct 88 ms 1384 KB Output is correct
45 Correct 95 ms 1264 KB Output is correct
46 Correct 33 ms 856 KB Output is correct
47 Correct 53 ms 1052 KB Output is correct
48 Correct 82 ms 1404 KB Output is correct
49 Correct 60 ms 1248 KB Output is correct
50 Correct 55 ms 1108 KB Output is correct
51 Correct 6 ms 604 KB Output is correct
52 Correct 113 ms 1504 KB Output is correct
53 Correct 107 ms 1144 KB Output is correct
54 Correct 125 ms 1388 KB Output is correct
55 Correct 243 ms 2056 KB Output is correct
56 Correct 111 ms 1380 KB Output is correct
57 Correct 253 ms 2296 KB Output is correct
58 Correct 146 ms 1320 KB Output is correct
59 Correct 171 ms 1504 KB Output is correct
60 Correct 15 ms 856 KB Output is correct
61 Correct 192 ms 1760 KB Output is correct
62 Correct 202 ms 1924 KB Output is correct
63 Correct 241 ms 2060 KB Output is correct
64 Correct 206 ms 2100 KB Output is correct
65 Correct 39 ms 1112 KB Output is correct
66 Correct 52 ms 1244 KB Output is correct
67 Correct 210 ms 1756 KB Output is correct
68 Correct 43 ms 1372 KB Output is correct
69 Correct 683 ms 3896 KB Output is correct
70 Correct 426 ms 2616 KB Output is correct
71 Correct 407 ms 2420 KB Output is correct
72 Correct 381 ms 2252 KB Output is correct
73 Correct 351 ms 2256 KB Output is correct
74 Correct 746 ms 4192 KB Output is correct
75 Correct 567 ms 3188 KB Output is correct
76 Correct 757 ms 4280 KB Output is correct
77 Correct 748 ms 4196 KB Output is correct