oj.uz

Submission #549135

# Submission time Handle Problem Language Result Execution time Memory
549135 2022-04-15T09:15:57 Z Duy_e Bali Sculptures (APIO15_sculpture) C++14
100 / 100
 249 ms 400 KB 
#include <bits/stdc++.h>
#define ll long long
#define pii pair<ll, ll>
#define st first
#define nd second
#define file "test"
using namespace std;
const long long INF = 1e18;
const long long N = 2e3 + 5;

ll n, a[N], A, B, f[N], dp[N], dp2[N];

ll get(int l, int r) {
	return f[r] - f[l - 1];
}

bool solve(ll x, ll pre) {
	int cnt = 1;
	ll sum = 0;

	for (int i = 0; i <= n; i ++) dp[i] = n + 1, dp2[i] = 0;
	dp[0] = 0;

	for (int i = 0; i <= n; i ++) {
		for (int j = i + 1; j <= n; j ++)
			if ((get(i + 1, j) | pre) <= x) {
				dp[j] = min(dp[j], dp[i] + 1);
				dp2[j] = max(dp2[j], dp2[i] + 1);
			}
	}

	return dp[n] <= B && dp2[n] >= A;
}

int main()
{
	ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
	// #ifndef ONLINE_JUDGE
	// 	freopen(file".inp","r",stdin); freopen(file".out","w",stdout);
	// #endif
	
	cin >> n >> A >> B;
	for (int i = 1; i <= n; i ++)
		cin >> a[i], f[i] = f[i - 1] + a[i];
	
	ll ans = 0;

	int last = 45;

	// for (int i = 0; i < 45; i ++) {
	// 	for (int j = 0; j < last; j ++) {
	// 		ll tmp = ans | ((1ll << (j + 1)) - 1); 
	// 		if (solve(ans, ans)) {i = 60; break;};
	// 		if (solve(tmp, ans)) {
	// 			last = j;
	// 			ans |= 1ll << j;
	// 			// cout << j << ' ' << ans << '\n';
	// 		}
	// 	}
	// } 

	for (int i = 44; i >= 0; i --) {
		ll tmp = ans | ((1ll << (i + 1)) - 1);
		if (solve(ans, ans)) break;

		// cout << tmp << ' ' << solve(tmp)

		if (solve(tmp, ans)) {
			last = i;
			// cout << i <<"="<< '\n';
			if (i == 0) {
				ans |= 1;
				break;
			}
		} else {
			ans |= 1ll << last;
			last = 0;
			tmp = ans | ((1ll << (i + 1)) - 1);
			
			if (solve(ans, ans)) break;

			if (solve(tmp, ans)) {
				last = i;
				if (i == 0) {
					ans |= 1;
					break;
				}
			}
		}
	}

	// cout << solve(11, ans) << '\n';

	cout << ans;

	return 0;
}	
/**  /\_/\
    (= ._.)
    / >🍵 \>🍮

statement:
	given n number (n <= 100) a[i] <= 1e9
	and two integer A, B;
	find the way to split the initial array into x consecutive subarray
	such that the sum of or of every subarray is minimum

	x should be any number between A, B -> A <= x <= B

bitwise or operation

OR minimum -> msb is lowest

**/

Compilation message

sculpture.cpp: In function 'bool solve(long long int, long long int)':
sculpture.cpp:18:6: warning: unused variable 'cnt' [-Wunused-variable]
   18 |  int cnt = 1;
      |      ^~~
sculpture.cpp:19:5: warning: unused variable 'sum' [-Wunused-variable]
   19 |  ll sum = 0;
      |     ^~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 340 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 0 ms 212 KB Output is correct
28 Correct 0 ms 212 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 0 ms 212 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 0 ms 212 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 0 ms 212 KB Output is correct

Subtask #2
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 0 ms 212 KB Output is correct
28 Correct 0 ms 212 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 1 ms 212 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 0 ms 328 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 1 ms 212 KB Output is correct

Subtask #4
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 0 ms 212 KB Output is correct
28 Correct 0 ms 212 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 0 ms 212 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 0 ms 212 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 0 ms 212 KB Output is correct
35 Correct 0 ms 212 KB Output is correct
36 Correct 0 ms 212 KB Output is correct
37 Correct 0 ms 212 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 1 ms 212 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Correct 1 ms 212 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 1 ms 212 KB Output is correct
44 Correct 1 ms 212 KB Output is correct
45 Correct 1 ms 212 KB Output is correct
46 Correct 1 ms 212 KB Output is correct
47 Correct 1 ms 212 KB Output is correct
48 Correct 1 ms 212 KB Output is correct
49 Correct 1 ms 212 KB Output is correct
50 Correct 1 ms 212 KB Output is correct
51 Correct 1 ms 212 KB Output is correct
52 Correct 1 ms 212 KB Output is correct
53 Correct 1 ms 328 KB Output is correct
54 Correct 1 ms 340 KB Output is correct
55 Correct 1 ms 212 KB Output is correct
56 Correct 1 ms 212 KB Output is correct
57 Correct 1 ms 212 KB Output is correct
58 Correct 1 ms 212 KB Output is correct
59 Correct 1 ms 212 KB Output is correct
60 Correct 1 ms 212 KB Output is correct
61 Correct 1 ms 212 KB Output is correct
62 Correct 1 ms 212 KB Output is correct
63 Correct 1 ms 340 KB Output is correct
64 Correct 1 ms 332 KB Output is correct
65 Correct 1 ms 212 KB Output is correct
66 Correct 1 ms 212 KB Output is correct
67 Correct 1 ms 212 KB Output is correct
68 Correct 1 ms 212 KB Output is correct
69 Correct 1 ms 212 KB Output is correct
70 Correct 1 ms 212 KB Output is correct
71 Correct 1 ms 212 KB Output is correct
72 Correct 1 ms 212 KB Output is correct
73 Correct 1 ms 260 KB Output is correct
74 Correct 1 ms 212 KB Output is correct

Subtask #5
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 0 ms 212 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 1 ms 212 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 1 ms 332 KB Output is correct
39 Correct 1 ms 212 KB Output is correct
40 Correct 1 ms 328 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 1 ms 212 KB Output is correct
44 Correct 1 ms 212 KB Output is correct
45 Correct 2 ms 212 KB Output is correct
46 Correct 1 ms 212 KB Output is correct
47 Correct 1 ms 212 KB Output is correct
48 Correct 1 ms 212 KB Output is correct
49 Correct 1 ms 212 KB Output is correct
50 Correct 1 ms 212 KB Output is correct
51 Correct 1 ms 212 KB Output is correct
52 Correct 23 ms 356 KB Output is correct
53 Correct 35 ms 340 KB Output is correct
54 Correct 73 ms 348 KB Output is correct
55 Correct 62 ms 340 KB Output is correct
56 Correct 230 ms 364 KB Output is correct
57 Correct 224 ms 388 KB Output is correct
58 Correct 199 ms 340 KB Output is correct
59 Correct 162 ms 392 KB Output is correct
60 Correct 171 ms 400 KB Output is correct
61 Correct 2 ms 340 KB Output is correct
62 Correct 36 ms 332 KB Output is correct
63 Correct 66 ms 340 KB Output is correct
64 Correct 61 ms 360 KB Output is correct
65 Correct 122 ms 336 KB Output is correct
66 Correct 176 ms 388 KB Output is correct
67 Correct 197 ms 384 KB Output is correct
68 Correct 249 ms 392 KB Output is correct
69 Correct 225 ms 340 KB Output is correct