oj.uz

Submission #316508

# Submission time Handle Problem Language Result Execution time Memory
316508 2020-10-26T13:33:54 Z nouvo25 Skyscraper (JOI16_skyscraper) C++14
100 / 100
 64 ms 17912 KB 
#include <bits/stdc++.h>
#define fi first
#define se second
#define ll long long
#define io ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0)

using namespace std;

const int MOD = 1e9 + 7, MAXN = 107;

int dp[MAXN][MAXN][1007][4] = {}, n, l, a[MAXN];

void add(int &a, const int &b)
{
	a += b;
	if (a >= MOD) a -= MOD;
}

int main()
{
//	freopen("test.INP","r",	stdin);
//	freopen("BAILAM.OUT","w",stdout);
	io;
	cin >> n >> l;
	for (int i = 1; i <= n; ++i) cin >> a[i];
	sort(a + 1, a + 1 + n);
	
	if (n == 1)
	{
		cout << 1;
		return 0;
	}
	
	a[n + 1] = 10000;
	if (a[2] - a[1] <= l) dp[2][1][a[2] - a[1]][1] = 2;//dat o a[1] o mot dau
	if (n > 2 && 2*(a[2] - a[1]) <= l) dp[2][1][2*(a[2] - a[1])][0] = 1;//dat a[1] o giua
	for (int i = 2; i <= n; ++i)
		for (int j = 1; j <= i; ++j)
			for (int k = 0; k <= l; ++k)
				for (int z = 0; z < 3; ++z)
					if (dp[i][j][k][z])
					{
						int diff = a[i + 1] - a[i], cur = dp[i][j][k][z];
						int nwk = k + (2*j - z - 1)*diff;
						//dat endpoint
						if (z < 2)
						{
							//noi vao mot tplt
							if (nwk <= l) 
							{
								if (i == n)
								{
									//diem cuoi co the noi 2 endpoints
									add(dp[i + 1][j][nwk][z + 1], 1LL*cur*(2 - z)*j % MOD);
								}else
								{
									//khong noi duoc 2 endpoints
									add(dp[i + 1][j][nwk][z + 1], 1LL*cur*(2 - z)*(j - z) % MOD);
								}
							}
							//tao tplt moi
							nwk = k + (2*j - z + 1)*diff;
							if (nwk <= l) add(dp[i + 1][j + 1][nwk][z + 1], (2 - z)*cur % MOD);
						}
						//khong dat endpoint
						//tao tplt moi
						nwk = k + (2*j - z + 2)*diff;
						if (nwk <= l) add(dp[i + 1][j + 1][nwk][z], cur);
						//noi vao 1 tplt
						nwk = k + (2*j - z)*diff;
						if (nwk <= l) add(dp[i + 1][j][nwk][z], 1LL*(2*j - z)*cur % MOD);
						
						//noi 2 tplt
						nwk = k + (2*j - z - 2)*diff;
						if (nwk <= l && j > 1 && ((i == n) || (z < 2) || (j > 2)))
						{
							if (z == 0)
							{
								add(dp[i + 1][j - 1][nwk][z], 1LL*j*(j - 1)*cur % MOD);
							}
							if (z == 1)
							{
//								if (i == 3 && j == 1 && k == 2 && z == 1) cout << 2*j - z - 2 << '\n';
								add(dp[i + 1][j - 1][nwk][z], 1LL*(j - 1)*(j - 1)*cur % MOD);
							}
							if (z == 2)
							{
								if (i == n)
								{
									add(dp[i + 1][j - 1][nwk][z], cur);
								}else
								{
									add(dp[i + 1][j - 1][nwk][z], 1LL*(j - 2)*(j - 1)*cur % MOD);
								}
							}
						}
					}
	
	int res = 0;
	for (int i = 0; i <= l; ++i) add(res, dp[n + 1][1][i][2]);
	cout << res;
	return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 0 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 512 KB Output is correct
6 Correct 1 ms 512 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 512 KB Output is correct
10 Correct 0 ms 512 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 640 KB Output is correct
2 Correct 1 ms 512 KB Output is correct
3 Correct 1 ms 640 KB Output is correct
4 Correct 1 ms 512 KB Output is correct
5 Correct 1 ms 512 KB Output is correct
6 Correct 1 ms 640 KB Output is correct
7 Correct 1 ms 512 KB Output is correct
8 Correct 1 ms 640 KB Output is correct
9 Correct 1 ms 640 KB Output is correct
10 Correct 1 ms 512 KB Output is correct

Subtask #3
80.0 / 80.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 0 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 512 KB Output is correct
6 Correct 1 ms 512 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 512 KB Output is correct
10 Correct 0 ms 512 KB Output is correct
11 Correct 1 ms 640 KB Output is correct
12 Correct 1 ms 512 KB Output is correct
13 Correct 1 ms 640 KB Output is correct
14 Correct 1 ms 512 KB Output is correct
15 Correct 1 ms 512 KB Output is correct
16 Correct 1 ms 640 KB Output is correct
17 Correct 1 ms 512 KB Output is correct
18 Correct 1 ms 640 KB Output is correct
19 Correct 1 ms 640 KB Output is correct
20 Correct 1 ms 512 KB Output is correct
21 Correct 2 ms 1152 KB Output is correct
22 Correct 64 ms 17912 KB Output is correct
23 Correct 44 ms 6264 KB Output is correct
24 Correct 46 ms 9464 KB Output is correct
25 Correct 48 ms 7160 KB Output is correct
26 Correct 41 ms 6780 KB Output is correct
27 Correct 23 ms 8316 KB Output is correct
28 Correct 30 ms 10104 KB Output is correct
29 Correct 49 ms 13048 KB Output is correct
30 Correct 48 ms 7472 KB Output is correct