oj.uz

Submission #402826

# Submission time Handle Problem Language Result Execution time Memory
402826 2021-05-12T11:59:42 Z yoavL Bali Sculptures (APIO15_sculpture) C++14
25 / 100
 1000 ms 1188 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;
}



ll calc_dp2()
{

	/*
	dp[i][j] = minimum number of groupos needed to make first i values have OR-SUM of jj
	*/

	vvll dp(n + 1, vll(maxn, inf));
	dp[0][0] = 0;


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


	ll res = inf;
	for (ll k = 0; k < maxn; k++) {
		if (dp[n][k] <= b) 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;
	}
	else if (a == 1) {
		ans = calc_dp2();
		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 2 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 8 ms 204 KB Output is correct
9 Correct 8 ms 204 KB Output is correct
10 Correct 9 ms 204 KB Output is correct
11 Correct 7 ms 204 KB Output is correct
12 Correct 7 ms 204 KB Output is correct
13 Correct 34 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 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 204 KB Output is correct
23 Correct 10 ms 288 KB Output is correct
24 Correct 7 ms 284 KB Output is correct
25 Correct 10 ms 288 KB Output is correct
26 Correct 31 ms 204 KB Output is correct
27 Correct 1 ms 204 KB Output is correct
28 Correct 1 ms 244 KB Output is correct
29 Correct 1 ms 204 KB Output is correct
30 Correct 4 ms 204 KB Output is correct
31 Correct 12 ms 204 KB Output is correct
32 Correct 7 ms 288 KB Output is correct
33 Correct 30 ms 292 KB Output is correct
34 Correct 36 ms 204 KB Output is correct
35 Correct 7 ms 204 KB Output is correct
36 Correct 32 ms 204 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 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 8 ms 204 KB Output is correct
9 Correct 7 ms 288 KB Output is correct
10 Correct 7 ms 204 KB Output is correct
11 Correct 8 ms 204 KB Output is correct
12 Correct 7 ms 292 KB Output is correct
13 Correct 34 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 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 204 KB Output is correct
24 Correct 9 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 2 ms 460 KB Output is correct
28 Correct 2 ms 460 KB Output is correct
29 Correct 5 ms 588 KB Output is correct
30 Correct 6 ms 588 KB Output is correct
31 Correct 7 ms 716 KB Output is correct
32 Correct 7 ms 712 KB Output is correct
33 Correct 7 ms 712 KB Output is correct
34 Correct 8 ms 660 KB Output is correct
35 Correct 7 ms 588 KB Output is correct
36 Correct 7 ms 588 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 204 KB Output is correct
7 Correct 2 ms 204 KB Output is correct
8 Correct 8 ms 204 KB Output is correct
9 Correct 8 ms 204 KB Output is correct
10 Correct 8 ms 204 KB Output is correct
11 Correct 7 ms 204 KB Output is correct
12 Correct 7 ms 204 KB Output is correct
13 Correct 36 ms 204 KB Output is correct
14 Correct 2 ms 460 KB Output is correct
15 Correct 2 ms 460 KB Output is correct
16 Correct 4 ms 588 KB Output is correct
17 Correct 5 ms 644 KB Output is correct
18 Correct 7 ms 588 KB Output is correct
19 Correct 7 ms 588 KB Output is correct
20 Correct 7 ms 588 KB Output is correct
21 Correct 7 ms 588 KB Output is correct
22 Correct 7 ms 588 KB Output is correct
23 Correct 7 ms 588 KB Output is correct
24 Correct 8 ms 720 KB Output is correct
25 Correct 11 ms 836 KB Output is correct
26 Correct 17 ms 932 KB Output is correct
27 Correct 22 ms 1056 KB Output is correct
28 Correct 26 ms 1128 KB Output is correct
29 Execution timed out 1080 ms 1100 KB Time limit exceeded
30 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 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 284 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 332 KB Output is correct
12 Correct 7 ms 204 KB Output is correct
13 Correct 39 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 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 288 KB Output is correct
23 Correct 10 ms 204 KB Output is correct
24 Correct 7 ms 204 KB Output is correct
25 Correct 10 ms 288 KB Output is correct
26 Correct 31 ms 204 KB Output is correct
27 Correct 1 ms 204 KB Output is correct
28 Correct 1 ms 204 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 292 KB Output is correct
32 Correct 7 ms 204 KB Output is correct
33 Correct 31 ms 292 KB Output is correct
34 Correct 32 ms 204 KB Output is correct
35 Correct 7 ms 204 KB Output is correct
36 Correct 32 ms 236 KB Output is correct
37 Correct 2 ms 460 KB Output is correct
38 Correct 2 ms 460 KB Output is correct
39 Correct 4 ms 588 KB Output is correct
40 Correct 5 ms 588 KB Output is correct
41 Correct 7 ms 588 KB Output is correct
42 Correct 7 ms 588 KB Output is correct
43 Correct 7 ms 588 KB Output is correct
44 Correct 7 ms 588 KB Output is correct
45 Correct 7 ms 588 KB Output is correct
46 Correct 7 ms 708 KB Output is correct
47 Correct 7 ms 716 KB Output is correct
48 Correct 11 ms 716 KB Output is correct
49 Correct 16 ms 844 KB Output is correct
50 Correct 21 ms 932 KB Output is correct
51 Correct 25 ms 1100 KB Output is correct
52 Execution timed out 1091 ms 1100 KB Time limit exceeded
53 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 8 ms 204 KB Output is correct
9 Correct 7 ms 204 KB Output is correct
10 Correct 8 ms 288 KB Output is correct
11 Correct 7 ms 204 KB Output is correct
12 Correct 9 ms 204 KB Output is correct
13 Correct 33 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 204 KB Output is correct
18 Correct 10 ms 288 KB Output is correct
19 Correct 9 ms 204 KB Output is correct
20 Correct 30 ms 204 KB Output is correct
21 Correct 32 ms 204 KB Output is correct
22 Correct 8 ms 292 KB Output is correct
23 Correct 32 ms 204 KB Output is correct
24 Correct 2 ms 460 KB Output is correct
25 Correct 2 ms 460 KB Output is correct
26 Correct 5 ms 588 KB Output is correct
27 Correct 5 ms 588 KB Output is correct
28 Correct 7 ms 660 KB Output is correct
29 Correct 7 ms 588 KB Output is correct
30 Correct 7 ms 588 KB Output is correct
31 Correct 8 ms 588 KB Output is correct
32 Correct 7 ms 588 KB Output is correct
33 Correct 7 ms 708 KB Output is correct
34 Correct 7 ms 716 KB Output is correct
35 Correct 11 ms 716 KB Output is correct
36 Correct 16 ms 940 KB Output is correct
37 Correct 21 ms 972 KB Output is correct
38 Correct 26 ms 1188 KB Output is correct
39 Execution timed out 1091 ms 1100 KB Time limit exceeded
40 Halted 0 ms 0 KB -