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Submission #527592

# Submission time Handle Problem Language Result Execution time Memory
527592 2022-02-17T17:41:25 Z SlavicG Bali Sculptures (APIO15_sculpture) C++17
100 / 100
 593 ms 31896 KB 
#include "bits/stdc++.h"
using namespace std;
 
#define ll long long
 
#define       forn(i,n)              for(int i=0;i<n;i++)
#define          all(v)              v.begin(), v.end()
#define         rall(v)              v.rbegin(),v.rend()
 
#define            pb                push_back
#define          sz(a)               (int)a.size()

const int N = 2005;
ll p[N];
ll sum(int l, int r) {
    return p[r] - (l ? p[l - 1] : 0);
}

//dp[index][OR][number of subarrays] = 1 if possible to obtain such partition

ll dp[N][N];
ll excluded;

bool check(ll k, int n, vector<ll>& a, int A, int B) {
    for(int i = 0;i < N; ++i) for(int j = 0;j < N; ++j) dp[i][j] = 0;
    dp[0][0] = 1;
    for(int i = 1; i <= n; ++i) {
        for(int j = 0;j < i; ++j) {
            ll s = sum(j, i - 1);
            if((s & excluded) || (s & (1LL << k))) continue;
            for(int x = 0;x < n; ++x) {
                dp[i][x + 1] |= dp[j][x];
            }
        }
    }
    for(int j = A; j <= B; ++j) {
        if(dp[n][j]) return true;
    }
    return false;
}

bool check2(ll k, int n, vector<ll>& a, ll A, ll B) {
    for(int i = 0;i < N; ++i) for(int j = 0;j < N; ++j) dp[i][j] = INT_MAX;
    dp[0][0] = 0;
    for(int i = 1; i <= n; ++i) {
        for(int j = 0;j < i; ++j) {
            ll s = sum(j, i - 1);
            if((s & excluded) || (s & (1LL << k))) continue;
            dp[i][0] = min(dp[i][0], dp[j][0] + 1);
        }
    }
    return (dp[n][0] <= B);
}
void solve() { 
    ll n, A, B;
    cin >> n >> A >> B;
    vector<ll> a(n);
    for(int i = 0;i < n; ++i) {
        cin >> a[i];
        p[i] = (i ? p[i - 1] : 0) + a[i];
    }

    if(n <= 100) { 
        ll ans = 0;
        for(ll pw = 62; pw >= 0; --pw) {
            if(check(pw, n, a, A, B)) {
                excluded += (1LL << pw);
            } else {
                ans += (1LL << pw);
            }
        }
        cout << ans << "\n";
    } else {
        ll ans = 0;
        for(ll pw = 62; pw >= 0; --pw) {
            if(check2(pw, n, a, A, B)) {
                excluded += (1LL << pw);
            } else {
                ans += (1LL << pw);
            }
        }
        cout << ans << "\n";
    }
} 
 
int32_t main() {
    ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
    int t = 1;
    //cin >> t;
    while(t--) {
        solve();
    }
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 218 ms 31760 KB Output is correct
2 Correct 225 ms 31760 KB Output is correct
3 Correct 252 ms 31764 KB Output is correct
4 Correct 219 ms 31764 KB Output is correct
5 Correct 225 ms 31772 KB Output is correct
6 Correct 220 ms 31772 KB Output is correct
7 Correct 221 ms 31780 KB Output is correct
8 Correct 224 ms 31764 KB Output is correct
9 Correct 240 ms 31764 KB Output is correct
10 Correct 224 ms 31772 KB Output is correct
11 Correct 242 ms 31768 KB Output is correct
12 Correct 220 ms 31772 KB Output is correct
13 Correct 224 ms 31692 KB Output is correct
14 Correct 224 ms 31692 KB Output is correct
15 Correct 215 ms 31692 KB Output is correct
16 Correct 216 ms 31692 KB Output is correct
17 Correct 223 ms 31692 KB Output is correct
18 Correct 214 ms 31764 KB Output is correct
19 Correct 214 ms 31896 KB Output is correct
20 Correct 219 ms 31764 KB Output is correct
21 Correct 218 ms 31772 KB Output is correct
22 Correct 224 ms 31764 KB Output is correct
23 Correct 231 ms 31764 KB Output is correct
24 Correct 217 ms 31776 KB Output is correct
25 Correct 221 ms 31692 KB Output is correct
26 Correct 228 ms 31764 KB Output is correct
27 Correct 211 ms 31692 KB Output is correct
28 Correct 219 ms 31672 KB Output is correct
29 Correct 220 ms 31764 KB Output is correct
30 Correct 214 ms 31768 KB Output is correct
31 Correct 240 ms 31692 KB Output is correct
32 Correct 230 ms 31808 KB Output is correct
33 Correct 221 ms 31692 KB Output is correct
34 Correct 214 ms 31768 KB Output is correct
35 Correct 215 ms 31764 KB Output is correct
36 Correct 213 ms 31764 KB Output is correct

Subtask #2
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 219 ms 31692 KB Output is correct
2 Correct 222 ms 31760 KB Output is correct
3 Correct 220 ms 31764 KB Output is correct
4 Correct 215 ms 31700 KB Output is correct
5 Correct 213 ms 31768 KB Output is correct
6 Correct 214 ms 31692 KB Output is correct
7 Correct 213 ms 31772 KB Output is correct
8 Correct 220 ms 31812 KB Output is correct
9 Correct 213 ms 31764 KB Output is correct
10 Correct 215 ms 31768 KB Output is correct
11 Correct 234 ms 31692 KB Output is correct
12 Correct 221 ms 31704 KB Output is correct
13 Correct 215 ms 31692 KB Output is correct
14 Correct 214 ms 31776 KB Output is correct
15 Correct 212 ms 31692 KB Output is correct
16 Correct 212 ms 31760 KB Output is correct
17 Correct 220 ms 31768 KB Output is correct
18 Correct 215 ms 31772 KB Output is correct
19 Correct 230 ms 31768 KB Output is correct
20 Correct 216 ms 31764 KB Output is correct
21 Correct 214 ms 31812 KB Output is correct
22 Correct 218 ms 31760 KB Output is correct
23 Correct 217 ms 31764 KB Output is correct
24 Correct 220 ms 31760 KB Output is correct
25 Correct 212 ms 31764 KB Output is correct
26 Correct 212 ms 31752 KB Output is correct
27 Correct 216 ms 31812 KB Output is correct
28 Correct 212 ms 31768 KB Output is correct
29 Correct 238 ms 31704 KB Output is correct
30 Correct 217 ms 31812 KB Output is correct
31 Correct 214 ms 31764 KB Output is correct
32 Correct 225 ms 31748 KB Output is correct
33 Correct 219 ms 31772 KB Output is correct
34 Correct 232 ms 31764 KB Output is correct
35 Correct 220 ms 31776 KB Output is correct
36 Correct 216 ms 31776 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 213 ms 31692 KB Output is correct
2 Correct 218 ms 31764 KB Output is correct
3 Correct 223 ms 31768 KB Output is correct
4 Correct 223 ms 31868 KB Output is correct
5 Correct 221 ms 31692 KB Output is correct
6 Correct 234 ms 31696 KB Output is correct
7 Correct 216 ms 31812 KB Output is correct
8 Correct 211 ms 31764 KB Output is correct
9 Correct 212 ms 31692 KB Output is correct
10 Correct 228 ms 31808 KB Output is correct
11 Correct 219 ms 31768 KB Output is correct
12 Correct 236 ms 31692 KB Output is correct
13 Correct 220 ms 31692 KB Output is correct
14 Correct 233 ms 31784 KB Output is correct
15 Correct 216 ms 31692 KB Output is correct
16 Correct 219 ms 31780 KB Output is correct
17 Correct 218 ms 31692 KB Output is correct
18 Correct 214 ms 31768 KB Output is correct
19 Correct 239 ms 31820 KB Output is correct
20 Correct 215 ms 31692 KB Output is correct
21 Correct 214 ms 31764 KB Output is correct
22 Correct 224 ms 31836 KB Output is correct
23 Correct 214 ms 31764 KB Output is correct
24 Correct 237 ms 31768 KB Output is correct
25 Correct 223 ms 31768 KB Output is correct
26 Correct 223 ms 31768 KB Output is correct
27 Correct 235 ms 31768 KB Output is correct
28 Correct 240 ms 31772 KB Output is correct
29 Correct 249 ms 31692 KB Output is correct
30 Correct 237 ms 31768 KB Output is correct
31 Correct 232 ms 31812 KB Output is correct
32 Correct 228 ms 31768 KB Output is correct

Subtask #4
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 215 ms 31756 KB Output is correct
2 Correct 224 ms 31760 KB Output is correct
3 Correct 216 ms 31692 KB Output is correct
4 Correct 211 ms 31692 KB Output is correct
5 Correct 216 ms 31812 KB Output is correct
6 Correct 212 ms 31684 KB Output is correct
7 Correct 217 ms 31764 KB Output is correct
8 Correct 221 ms 31780 KB Output is correct
9 Correct 216 ms 31692 KB Output is correct
10 Correct 237 ms 31768 KB Output is correct
11 Correct 216 ms 31764 KB Output is correct
12 Correct 214 ms 31764 KB Output is correct
13 Correct 214 ms 31772 KB Output is correct
14 Correct 219 ms 31780 KB Output is correct
15 Correct 217 ms 31692 KB Output is correct
16 Correct 212 ms 31764 KB Output is correct
17 Correct 215 ms 31812 KB Output is correct
18 Correct 211 ms 31772 KB Output is correct
19 Correct 212 ms 31764 KB Output is correct
20 Correct 216 ms 31692 KB Output is correct
21 Correct 239 ms 31772 KB Output is correct
22 Correct 211 ms 31692 KB Output is correct
23 Correct 217 ms 31764 KB Output is correct
24 Correct 220 ms 31764 KB Output is correct
25 Correct 230 ms 31692 KB Output is correct
26 Correct 217 ms 31776 KB Output is correct
27 Correct 217 ms 31764 KB Output is correct
28 Correct 210 ms 31764 KB Output is correct
29 Correct 211 ms 31820 KB Output is correct
30 Correct 216 ms 31768 KB Output is correct
31 Correct 233 ms 31664 KB Output is correct
32 Correct 215 ms 31692 KB Output is correct
33 Correct 219 ms 31768 KB Output is correct
34 Correct 221 ms 31684 KB Output is correct
35 Correct 211 ms 31740 KB Output is correct
36 Correct 215 ms 31764 KB Output is correct
37 Correct 218 ms 31764 KB Output is correct
38 Correct 214 ms 31764 KB Output is correct
39 Correct 214 ms 31768 KB Output is correct
40 Correct 214 ms 31764 KB Output is correct
41 Correct 214 ms 31692 KB Output is correct
42 Correct 224 ms 31772 KB Output is correct
43 Correct 240 ms 31764 KB Output is correct
44 Correct 217 ms 31764 KB Output is correct
45 Correct 228 ms 31692 KB Output is correct
46 Correct 238 ms 31768 KB Output is correct
47 Correct 218 ms 31764 KB Output is correct
48 Correct 228 ms 31860 KB Output is correct
49 Correct 252 ms 31768 KB Output is correct
50 Correct 233 ms 31768 KB Output is correct
51 Correct 245 ms 31692 KB Output is correct
52 Correct 229 ms 31692 KB Output is correct
53 Correct 231 ms 31768 KB Output is correct
54 Correct 231 ms 31812 KB Output is correct
55 Correct 232 ms 31772 KB Output is correct
56 Correct 220 ms 31764 KB Output is correct
57 Correct 223 ms 31692 KB Output is correct
58 Correct 226 ms 31692 KB Output is correct
59 Correct 220 ms 31692 KB Output is correct
60 Correct 228 ms 31768 KB Output is correct
61 Correct 222 ms 31820 KB Output is correct
62 Correct 226 ms 31764 KB Output is correct
63 Correct 222 ms 31692 KB Output is correct
64 Correct 230 ms 31768 KB Output is correct
65 Correct 216 ms 31764 KB Output is correct
66 Correct 218 ms 31692 KB Output is correct
67 Correct 217 ms 31780 KB Output is correct
68 Correct 220 ms 31692 KB Output is correct
69 Correct 221 ms 31780 KB Output is correct
70 Correct 233 ms 31764 KB Output is correct
71 Correct 227 ms 31780 KB Output is correct
72 Correct 229 ms 31692 KB Output is correct
73 Correct 232 ms 31820 KB Output is correct
74 Correct 222 ms 31672 KB Output is correct

Subtask #5
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 225 ms 31812 KB Output is correct
2 Correct 215 ms 31780 KB Output is correct
3 Correct 210 ms 31692 KB Output is correct
4 Correct 211 ms 31772 KB Output is correct
5 Correct 219 ms 31812 KB Output is correct
6 Correct 219 ms 31768 KB Output is correct
7 Correct 210 ms 31816 KB Output is correct
8 Correct 224 ms 31768 KB Output is correct
9 Correct 213 ms 31692 KB Output is correct
10 Correct 214 ms 31764 KB Output is correct
11 Correct 224 ms 31784 KB Output is correct
12 Correct 219 ms 31692 KB Output is correct
13 Correct 225 ms 31692 KB Output is correct
14 Correct 225 ms 31776 KB Output is correct
15 Correct 214 ms 31772 KB Output is correct
16 Correct 215 ms 31712 KB Output is correct
17 Correct 217 ms 31768 KB Output is correct
18 Correct 212 ms 31692 KB Output is correct
19 Correct 212 ms 31772 KB Output is correct
20 Correct 242 ms 31768 KB Output is correct
21 Correct 213 ms 31692 KB Output is correct
22 Correct 231 ms 31764 KB Output is correct
23 Correct 223 ms 31692 KB Output is correct
24 Correct 212 ms 31768 KB Output is correct
25 Correct 213 ms 31768 KB Output is correct
26 Correct 216 ms 31768 KB Output is correct
27 Correct 213 ms 31692 KB Output is correct
28 Correct 216 ms 31692 KB Output is correct
29 Correct 231 ms 31772 KB Output is correct
30 Correct 215 ms 31768 KB Output is correct
31 Correct 229 ms 31692 KB Output is correct
32 Correct 218 ms 31784 KB Output is correct
33 Correct 217 ms 31692 KB Output is correct
34 Correct 213 ms 31768 KB Output is correct
35 Correct 220 ms 31768 KB Output is correct
36 Correct 226 ms 31764 KB Output is correct
37 Correct 232 ms 31692 KB Output is correct
38 Correct 248 ms 31768 KB Output is correct
39 Correct 230 ms 31776 KB Output is correct
40 Correct 231 ms 31700 KB Output is correct
41 Correct 242 ms 31768 KB Output is correct
42 Correct 227 ms 31692 KB Output is correct
43 Correct 228 ms 31692 KB Output is correct
44 Correct 226 ms 31780 KB Output is correct
45 Correct 219 ms 31768 KB Output is correct
46 Correct 221 ms 31776 KB Output is correct
47 Correct 234 ms 31692 KB Output is correct
48 Correct 223 ms 31764 KB Output is correct
49 Correct 224 ms 31692 KB Output is correct
50 Correct 237 ms 31768 KB Output is correct
51 Correct 257 ms 31768 KB Output is correct
52 Correct 287 ms 31692 KB Output is correct
53 Correct 314 ms 31788 KB Output is correct
54 Correct 322 ms 31792 KB Output is correct
55 Correct 333 ms 31684 KB Output is correct
56 Correct 580 ms 31812 KB Output is correct
57 Correct 583 ms 31776 KB Output is correct
58 Correct 575 ms 31816 KB Output is correct
59 Correct 572 ms 31820 KB Output is correct
60 Correct 587 ms 31832 KB Output is correct
61 Correct 258 ms 31772 KB Output is correct
62 Correct 294 ms 31788 KB Output is correct
63 Correct 324 ms 31796 KB Output is correct
64 Correct 329 ms 31856 KB Output is correct
65 Correct 393 ms 31820 KB Output is correct
66 Correct 495 ms 31820 KB Output is correct
67 Correct 584 ms 31820 KB Output is correct
68 Correct 586 ms 31820 KB Output is correct
69 Correct 593 ms 31820 KB Output is correct