Submission #490760

#	Time	Username	Problem	Language	Result	Execution time	Memory
490760		hollwo_pelw	Bali Sculptures (APIO15_sculpture)	C++17	100 / 100	104 ms	4312 KiB

sculpture

#include <bits/stdc++.h>
using namespace std;

const int N = 2005, M = 105;

int n, a, b;
int64_t pre[N];

bool check1(int64_t cur, int bt) {
    vector<int> dp(n + 1, 1e9);
    dp[0] = 0;
    for (int i = 1; i <= n; i++) {
        for (int j = 0; j < i; j++) {
            int64_t f = (pre[i] - pre[j]) >> bt, s = cur >> bt;
            if ((f | s) == s) dp[i] = min(dp[i], dp[j] + 1); 
        }
    }
    return dp[n] <= b;
}

bool dp[N][N];

bool check(int64_t cur, int bt) {
    if (n > 100)
        return check1(cur, bt);
    
    memset(dp, 0, sizeof dp);
    dp[0][0] = 1;
    for (int i = 1; i <= n; i++) {
        for (int j = 0; j < i; j++) {
            int64_t f = (pre[i] - pre[j]) >> bt, s = cur >> bt;
            if ((f | s) == s) {
                for (int k = 1; k <= j + 1; k++)
                    dp[i][k] |= dp[j][k - 1];
            }
        }
    }
    
    for (int i = a; i <= b; i++)
        if (dp[n][i]) return 1;
    return 0;
}

signed main() {
    cin.tie(0), cout.tie(0) -> sync_with_stdio(0);
    
    cin >> n >> a >> b;
    for (int i = 1, x; i <= n; i++)
        cin >> x, pre[i] = pre[i - 1] + x;
    
    int64_t res = 0;
    for (int i = 40; ~i; i--) {
        if (!check(res, i))
            res |= 1ll << i;
    }
    
    cout << res;
}

• Subtask 1: 9 / 9
• Subtask 2: 16 / 16
• Subtask 3: 21 / 21
• Subtask 4: 25 / 25
• Subtask 5: 29 / 29