oj.uz

Submission #1087787

# Submission time Handle Problem Language Result Execution time Memory
1087787 2024-09-13T08:37:06 Z TAhmed33 Skyscraper (JOI16_skyscraper) C++
100 / 100
 199 ms 122964 KB 
#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize ("Ofast")
typedef long long ll;
const int MOD = 1e9 + 7;
int add (int a, int b) {
	a += b; if (a >= MOD) a -= MOD;
	return a;
}
int sub (int a, int b) {
	a -= b; if (a < 0) a += MOD;
	return a;
}
int mul (int a, int b) {
	return (a * 1ll * b) % MOD;
}
int power (int a, int b) {
	if (!b) return 1;
	int u = power(a, b >> 1);
	u = mul(u, u);
	if (b & 1) u = mul(u, a);
	return u;
}
int n, l, a[101];
const int B = 1000;
int dp[102][102][B + 1][3];
int ans (int x, int y, int z, int c) {
	if (y < 1 || c < 0 || c > 2 || z < 0 || z > B) {
		return 0;
	}
	if (x == n + 1) {
		return y == 1 && z >= 0 && z <= l && c == 0;
	}
	int &ret = dp[x][y][z][c];
	if (ret != -1) {
		return ret;
	}
	ret = 0;
	if (y == 1) {
		ret = add(ret, mul(c, ans(x + 1, y, z + c * a[x], c))); //add to end, and leave open
		ret = add(ret, mul(c, ans(x + 1, y, z + c * a[x], c - 1))); //add to end, and close
		ret = add(ret, mul(c, ans(x + 1, y + 1, z + c * a[x], c))); //add new open component 
		ret = add(ret, mul(c, ans(x + 1, y + 1, z + c * a[x], c - 1))); //add new closed component
	} else {
		int u = 2 * y - 2 + c;
		ret = add(ret, mul(c, ans(x + 1, y + 1, z + u * a[x], c))); //add new open component to end
		ret = add(ret, mul(c, ans(x + 1, y + 1, z + u * a[x], c - 1))); //add new closed component to end 
		ret = add(ret, mul(c, ans(x + 1, y, z + u * a[x], c - 1))); //add to end and close
		ret = add(ret, mul(y - 1, ans(x + 1, y + 1, z + u * a[x], c))); //insert new component in the middle
		ret = add(ret, mul(y - 1, ans(x + 1, y - 1, z + u * a[x], c))); //merge two components
		ret = add(ret, mul(u, ans(x + 1, y, z + u * a[x], c))); //add to end of any component
	}
	return ret;
}
void solve () {
	memset(dp, -1, sizeof(dp));
	cin >> n >> l;
	for (int i = 1; i <= n; i++) {
		cin >> a[i];
	}
	if (n == 1) {
		cout << 1 << '\n';
		return;
	}
	sort(a + 1, a + n + 1);
	for (int i = n; i >= 1; i--) {
		a[i] = a[i] - a[i - 1];
	}
	a[1] = 0;
	int sum = ans(2, 1, 0, 1);
	sum = mul(sum, 2);
	sum = add(sum, ans(2, 1, 0, 2));
	cout << sum << '\n';
}				
signed main () {
	ios::sync_with_stdio(0); cin.tie(0);
	int tc = 1; //cin >> tc;
	while (tc--) solve();
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 58 ms 122656 KB Output is correct
2 Correct 57 ms 122684 KB Output is correct
3 Correct 57 ms 122708 KB Output is correct
4 Correct 57 ms 122704 KB Output is correct
5 Correct 53 ms 122708 KB Output is correct
6 Correct 56 ms 122708 KB Output is correct
7 Correct 53 ms 122708 KB Output is correct
8 Correct 58 ms 122708 KB Output is correct
9 Correct 60 ms 122704 KB Output is correct
10 Correct 58 ms 122708 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 53 ms 122692 KB Output is correct
2 Correct 58 ms 122704 KB Output is correct
3 Correct 58 ms 122640 KB Output is correct
4 Correct 61 ms 122708 KB Output is correct
5 Correct 60 ms 122708 KB Output is correct
6 Correct 57 ms 122508 KB Output is correct
7 Correct 54 ms 122712 KB Output is correct
8 Correct 56 ms 122684 KB Output is correct
9 Correct 59 ms 122704 KB Output is correct
10 Correct 56 ms 122488 KB Output is correct

Subtask #3
80.0 / 80.0

# Verdict Execution time Memory Grader output
1 Correct 58 ms 122656 KB Output is correct
2 Correct 57 ms 122684 KB Output is correct
3 Correct 57 ms 122708 KB Output is correct
4 Correct 57 ms 122704 KB Output is correct
5 Correct 53 ms 122708 KB Output is correct
6 Correct 56 ms 122708 KB Output is correct
7 Correct 53 ms 122708 KB Output is correct
8 Correct 58 ms 122708 KB Output is correct
9 Correct 60 ms 122704 KB Output is correct
10 Correct 58 ms 122708 KB Output is correct
11 Correct 53 ms 122692 KB Output is correct
12 Correct 58 ms 122704 KB Output is correct
13 Correct 58 ms 122640 KB Output is correct
14 Correct 61 ms 122708 KB Output is correct
15 Correct 60 ms 122708 KB Output is correct
16 Correct 57 ms 122508 KB Output is correct
17 Correct 54 ms 122712 KB Output is correct
18 Correct 56 ms 122684 KB Output is correct
19 Correct 59 ms 122704 KB Output is correct
20 Correct 56 ms 122488 KB Output is correct
21 Correct 87 ms 122704 KB Output is correct
22 Correct 149 ms 122708 KB Output is correct
23 Correct 97 ms 122704 KB Output is correct
24 Correct 129 ms 122708 KB Output is correct
25 Correct 92 ms 122964 KB Output is correct
26 Correct 94 ms 122704 KB Output is correct
27 Correct 199 ms 122704 KB Output is correct
28 Correct 183 ms 122704 KB Output is correct
29 Correct 157 ms 122708 KB Output is correct
30 Correct 89 ms 122636 KB Output is correct