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Submission #332837

# Submission time Handle Problem Language Result Execution time Memory
332837 2020-12-03T16:30:40 Z sinamhdv Kitchen (BOI19_kitchen) C++11
100 / 100
 126 ms 3948 KB 
// https://oj.uz/problem/view/BOI19_kitchen
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
const int mod = 1000 * 1000 * 1000 + 7;
const int INF = 1000 * 1000 * 1000;
const ll LINF = (ll)INF * INF;

#ifdef DEBUG
#define dbg(x) cout << #x << " = " << (x) << endl << flush;
#define dbgr(s, f) { cout << #s << ": "; for (auto _ = (s); _ != (f); _++) cout << *_ << ' '; cout << endl << flush; }
#else
#define dbg(x) ;
#define dbgr(s, f) ;
#endif
#define FOR(i, a, b) for (int i = (a); i < (b); i++)
#define fast_io ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
#define msub(a, b) ((mod + ((a) - (b)) % mod) % mod)
#define mdiv(a, b) ((a) * poww((b), mod - 2) % mod)
#define all(x) (x).begin(), (x).end()
#define pb push_back
#define mp make_pair
#define fr first
#define sc second
#define endl '\n'

#define MAXN 320

bitset<MAXN * MAXN> sdp[MAXN];
bool fdp[MAXN * MAXN];
int fsum[MAXN * MAXN];
int a[MAXN], b[MAXN];
int n, m, k;
int asum, bsum;

int32_t main(void)
{
	fast_io;
	cin >> n >> m >> k;
	FOR(i, 0, n)
	{
		cin >> a[i];
		if (a[i] < k)
		{
			cout << "Impossible\n";
			return 0;
		}
		asum += a[i];
	}
	FOR(i, 0, m)
	{
		cin >> b[i];
		bsum += b[i];
	}
	sort(b, b + m);
	int p;
	for (p = 0; p < m; p++)
	{
		if (b[p] > n)
		{
			break;
		}
	}
	
	// fdp
	fdp[0] = 1;
	FOR(i, 0, p)
	{
		for (int j = bsum; j >= b[i]; j--)
		{
			fdp[j] |= fdp[j - b[i]];
		}
	}

	// fsum
	int last = INF;
	for (int i = MAXN * MAXN - 1; i >= 0; i--)
	{
		if (fdp[i])
		{
			last = i;
		}
		fsum[i] = last;
	}

	// sdp
	sdp[0][0] = 1;
	FOR(i, p, m)
	{
		for (int x = i - p + 1; x > 0; x--)
		{
			sdp[x] |= (sdp[x - 1] << b[i]);
		}
	}

	// find ans
	int ans = INF;
	FOR(x, 0, m - p + 1)
	{
		FOR(j, 0, bsum + 1)
		{
			if (!sdp[x][j])
				continue;
			if (max(n * (k - x), asum - j) < 0)
			{
				ans = min(ans, j);
			}
			else
			{
				ans = min(ans, j + fsum[max(n * (k - x), asum - j)]);
			}
		}
	}
	if (ans >= INF)
	{
		cout << "Impossible\n";
		return 0;
	}
	cout << ans - asum << endl;
	return 0;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 748 KB Output is correct
2 Correct 1 ms 748 KB Output is correct
3 Correct 1 ms 748 KB Output is correct
4 Correct 1 ms 748 KB Output is correct
5 Correct 1 ms 748 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 748 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 748 KB Output is correct
2 Correct 1 ms 748 KB Output is correct
3 Correct 1 ms 748 KB Output is correct
4 Correct 1 ms 748 KB Output is correct
5 Correct 1 ms 748 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 748 KB Output is correct
9 Correct 1 ms 1004 KB Output is correct
10 Correct 1 ms 1004 KB Output is correct
11 Correct 1 ms 876 KB Output is correct
12 Correct 1 ms 748 KB Output is correct
13 Correct 1 ms 748 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 876 KB Output is correct
2 Correct 10 ms 748 KB Output is correct
3 Correct 17 ms 876 KB Output is correct
4 Correct 38 ms 2156 KB Output is correct
5 Correct 18 ms 876 KB Output is correct
6 Correct 8 ms 748 KB Output is correct

Subtask #4
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 1260 KB Output is correct
2 Correct 2 ms 1004 KB Output is correct
3 Correct 1 ms 748 KB Output is correct
4 Correct 1 ms 748 KB Output is correct
5 Correct 1 ms 396 KB Output is correct

Subtask #5
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 748 KB Output is correct
2 Correct 1 ms 748 KB Output is correct
3 Correct 1 ms 748 KB Output is correct
4 Correct 1 ms 748 KB Output is correct
5 Correct 1 ms 748 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 748 KB Output is correct
9 Correct 1 ms 1004 KB Output is correct
10 Correct 1 ms 1004 KB Output is correct
11 Correct 1 ms 876 KB Output is correct
12 Correct 1 ms 748 KB Output is correct
13 Correct 1 ms 748 KB Output is correct
14 Correct 13 ms 876 KB Output is correct
15 Correct 10 ms 748 KB Output is correct
16 Correct 17 ms 876 KB Output is correct
17 Correct 38 ms 2156 KB Output is correct
18 Correct 18 ms 876 KB Output is correct
19 Correct 8 ms 748 KB Output is correct
20 Correct 5 ms 1260 KB Output is correct
21 Correct 2 ms 1004 KB Output is correct
22 Correct 1 ms 748 KB Output is correct
23 Correct 1 ms 748 KB Output is correct
24 Correct 1 ms 396 KB Output is correct
25 Correct 89 ms 3308 KB Output is correct
26 Correct 67 ms 3052 KB Output is correct
27 Correct 20 ms 1900 KB Output is correct
28 Correct 43 ms 2412 KB Output is correct
29 Correct 126 ms 3948 KB Output is correct
30 Correct 55 ms 2668 KB Output is correct