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Submission #402803

# Submission time Handle Problem Language Result Execution time Memory
402803 2021-05-12T11:19:16 Z yoavL Bali Sculptures (APIO15_sculpture) C++14
25 / 100
 39 ms 29228 KB 
#include <iostream>
#include <vector>
#include <algorithm>

#define upmax(a, b) a = max(a, b);
#define upmin(a, b) a = min(a, b);
#define pr(x) cout << x << endl;

using namespace std;
using ll = long long;
using vll = vector<ll>;
using vvll = vector<vll>;
using vvvll = vector<vvll>;

const ll inf = 1e18;
const ll maxn = 1026; // each one is smaller than 10. so sum is no more than 500. Which means maxn's last bit is no more than 1023.
const ll maxg = 21;
ll n, a, b;
vll arr;
ll ans;
vll s;

void brute(vll& div, ll ind)
{
	if (ind == n) {
		if (div.size() < a-1 || div.size() > b-1) return;
		ll res = 0;
		ll cursum = 0;
		ll p = 0;
		for (ll i = 0; i < n; i++) {
			cursum += arr[i];
			if (p < div.size() && div[p] == i) {
				res |= cursum;
				p++;
				cursum = 0;
			}
		}
		res |= cursum;
		upmin(ans, res);
		return;
	}

	div.push_back(ind);
	if(ind < n-1) brute(div, ind + 1);
	div.pop_back();
	brute(div, ind + 1);
}


ll sum(ll l, ll r)
{
	ll res = s[r];
	if (l) res -= s[l - 1];
	return res;
}


ll calc_dp()
{
	
	/*
	dp[i][j][k] = is it possible to use first i vals to form j groups with OR-SUM equals k.
	*/

	vvvll dp(n+1, vvll(maxg + 1, vll(maxn, false)));

	dp[0][0][0] = true;


	for (ll i = 0; i <= n; i++) {
		for (ll j = 0; j < maxg; j++) {
			for (ll k = 0; k < maxn; k++) {
				if (!dp[i][j][k]) continue;
				ll cursum = 0;
				for (ll m = i + 1; m <= n; m++) {
					cursum += arr[m - 1];
					if (cursum >= maxn) while (true);
					dp[m][j + 1][k | cursum] = 1;
				}
			}
		}
	}


	ll res = inf;
	for (ll j = a; j <= b; j++) {
		for (ll k = 0; k < maxn; k++) {
			if (dp[n][j][k]) upmin(res, k);
		}
	}
	return res;
}

int main()
{
	cin >> n >> a >> b;
	arr.resize(n);
	for (ll i = 0; i < n; i++) cin >> arr[i];
	s.resize(n);
	s[0] = arr[0];
	for (ll i = 1; i < n; i++) s[i] = arr[i] + s[i - 1];
	ans = inf;
	if (n <= 20) {

		vll div;
		brute(div, 0);
		pr(ans);
		return 0;
	}
	ans = calc_dp();
	pr(ans);
}

/*

6 1 3 
8 1 2 1 5 4


*/

Compilation message

sculpture.cpp: In function 'void brute(vll&, ll)':
sculpture.cpp:26:18: warning: comparison of integer expressions of different signedness: 'std::vector<long long int>::size_type' {aka 'long unsigned int'} and 'll' {aka 'long long int'} [-Wsign-compare]
   26 |   if (div.size() < a-1 || div.size() > b-1) return;
      |       ~~~~~~~~~~~^~~~~
sculpture.cpp:26:38: warning: comparison of integer expressions of different signedness: 'std::vector<long long int>::size_type' {aka 'long unsigned int'} and 'll' {aka 'long long int'} [-Wsign-compare]
   26 |   if (div.size() < a-1 || div.size() > b-1) return;
      |                           ~~~~~~~~~~~^~~~~
sculpture.cpp:32:10: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   32 |    if (p < div.size() && div[p] == i) {
      |        ~~^~~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 2 ms 204 KB Output is correct
7 Correct 2 ms 204 KB Output is correct
8 Correct 7 ms 204 KB Output is correct
9 Correct 7 ms 288 KB Output is correct
10 Correct 7 ms 288 KB Output is correct
11 Correct 7 ms 288 KB Output is correct
12 Correct 8 ms 204 KB Output is correct
13 Correct 32 ms 204 KB Output is correct
14 Correct 1 ms 288 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
17 Correct 1 ms 288 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 204 KB Output is correct
20 Correct 2 ms 204 KB Output is correct
21 Correct 10 ms 204 KB Output is correct
22 Correct 10 ms 292 KB Output is correct
23 Correct 10 ms 288 KB Output is correct
24 Correct 7 ms 204 KB Output is correct
25 Correct 10 ms 204 KB Output is correct
26 Correct 30 ms 204 KB Output is correct
27 Correct 1 ms 288 KB Output is correct
28 Correct 1 ms 204 KB Output is correct
29 Correct 2 ms 204 KB Output is correct
30 Correct 5 ms 204 KB Output is correct
31 Correct 10 ms 204 KB Output is correct
32 Correct 8 ms 204 KB Output is correct
33 Correct 30 ms 268 KB Output is correct
34 Correct 32 ms 204 KB Output is correct
35 Correct 8 ms 292 KB Output is correct
36 Correct 32 ms 268 KB Output is correct

Subtask #2
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 292 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 2 ms 204 KB Output is correct
7 Correct 2 ms 292 KB Output is correct
8 Correct 7 ms 204 KB Output is correct
9 Correct 7 ms 204 KB Output is correct
10 Correct 7 ms 288 KB Output is correct
11 Correct 7 ms 204 KB Output is correct
12 Correct 8 ms 296 KB Output is correct
13 Correct 32 ms 292 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 204 KB Output is correct
20 Correct 2 ms 204 KB Output is correct
21 Correct 10 ms 204 KB Output is correct
22 Correct 10 ms 292 KB Output is correct
23 Correct 10 ms 288 KB Output is correct
24 Correct 7 ms 204 KB Output is correct
25 Correct 10 ms 204 KB Output is correct
26 Correct 30 ms 296 KB Output is correct
27 Correct 4 ms 4300 KB Output is correct
28 Correct 4 ms 5068 KB Output is correct
29 Correct 6 ms 7332 KB Output is correct
30 Correct 6 ms 8100 KB Output is correct
31 Correct 9 ms 9420 KB Output is correct
32 Correct 8 ms 9420 KB Output is correct
33 Correct 8 ms 9420 KB Output is correct
34 Correct 9 ms 9540 KB Output is correct
35 Correct 9 ms 9420 KB Output is correct
36 Correct 8 ms 9420 KB Output is correct

Subtask #3
0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 2 ms 292 KB Output is correct
7 Correct 2 ms 204 KB Output is correct
8 Correct 8 ms 204 KB Output is correct
9 Correct 7 ms 204 KB Output is correct
10 Correct 8 ms 204 KB Output is correct
11 Correct 8 ms 296 KB Output is correct
12 Correct 8 ms 204 KB Output is correct
13 Correct 32 ms 204 KB Output is correct
14 Correct 4 ms 4300 KB Output is correct
15 Correct 4 ms 5068 KB Output is correct
16 Correct 6 ms 7372 KB Output is correct
17 Correct 6 ms 8100 KB Output is correct
18 Correct 11 ms 9540 KB Output is correct
19 Correct 8 ms 9536 KB Output is correct
20 Correct 8 ms 9420 KB Output is correct
21 Correct 9 ms 9420 KB Output is correct
22 Correct 9 ms 9420 KB Output is correct
23 Correct 10 ms 9420 KB Output is correct
24 Correct 9 ms 9720 KB Output is correct
25 Correct 15 ms 12108 KB Output is correct
26 Runtime error 37 ms 29228 KB Execution killed with signal 11
27 Halted 0 ms 0 KB -

Subtask #4
0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 292 KB Output is correct
6 Correct 2 ms 204 KB Output is correct
7 Correct 2 ms 204 KB Output is correct
8 Correct 7 ms 204 KB Output is correct
9 Correct 7 ms 204 KB Output is correct
10 Correct 7 ms 292 KB Output is correct
11 Correct 7 ms 204 KB Output is correct
12 Correct 7 ms 292 KB Output is correct
13 Correct 32 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 292 KB Output is correct
20 Correct 2 ms 204 KB Output is correct
21 Correct 10 ms 204 KB Output is correct
22 Correct 10 ms 204 KB Output is correct
23 Correct 10 ms 292 KB Output is correct
24 Correct 8 ms 204 KB Output is correct
25 Correct 11 ms 292 KB Output is correct
26 Correct 31 ms 272 KB Output is correct
27 Correct 1 ms 204 KB Output is correct
28 Correct 1 ms 292 KB Output is correct
29 Correct 1 ms 204 KB Output is correct
30 Correct 4 ms 204 KB Output is correct
31 Correct 10 ms 288 KB Output is correct
32 Correct 7 ms 204 KB Output is correct
33 Correct 30 ms 204 KB Output is correct
34 Correct 33 ms 288 KB Output is correct
35 Correct 7 ms 204 KB Output is correct
36 Correct 32 ms 204 KB Output is correct
37 Correct 3 ms 4300 KB Output is correct
38 Correct 4 ms 5028 KB Output is correct
39 Correct 6 ms 7372 KB Output is correct
40 Correct 7 ms 8012 KB Output is correct
41 Correct 9 ms 9420 KB Output is correct
42 Correct 8 ms 9420 KB Output is correct
43 Correct 8 ms 9420 KB Output is correct
44 Correct 8 ms 9420 KB Output is correct
45 Correct 8 ms 9420 KB Output is correct
46 Correct 8 ms 9528 KB Output is correct
47 Correct 9 ms 9616 KB Output is correct
48 Correct 15 ms 12196 KB Output is correct
49 Runtime error 38 ms 29132 KB Execution killed with signal 11
50 Halted 0 ms 0 KB -

Subtask #5
0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 2 ms 204 KB Output is correct
7 Correct 2 ms 204 KB Output is correct
8 Correct 7 ms 204 KB Output is correct
9 Correct 7 ms 204 KB Output is correct
10 Correct 7 ms 204 KB Output is correct
11 Correct 7 ms 204 KB Output is correct
12 Correct 7 ms 288 KB Output is correct
13 Correct 32 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
17 Correct 4 ms 288 KB Output is correct
18 Correct 10 ms 288 KB Output is correct
19 Correct 7 ms 204 KB Output is correct
20 Correct 30 ms 292 KB Output is correct
21 Correct 32 ms 204 KB Output is correct
22 Correct 7 ms 292 KB Output is correct
23 Correct 32 ms 292 KB Output is correct
24 Correct 3 ms 4300 KB Output is correct
25 Correct 4 ms 5068 KB Output is correct
26 Correct 6 ms 7372 KB Output is correct
27 Correct 7 ms 8116 KB Output is correct
28 Correct 9 ms 9420 KB Output is correct
29 Correct 8 ms 9420 KB Output is correct
30 Correct 8 ms 9532 KB Output is correct
31 Correct 8 ms 9420 KB Output is correct
32 Correct 8 ms 9420 KB Output is correct
33 Correct 9 ms 9548 KB Output is correct
34 Correct 9 ms 9712 KB Output is correct
35 Correct 15 ms 12108 KB Output is correct
36 Runtime error 39 ms 29168 KB Execution killed with signal 11
37 Halted 0 ms 0 KB -