Submission #102258

# Submission time Handle Problem Language Result Execution time Memory
102258 2019-03-24T01:30:27 Z jasony123123 Skyscraper (JOI16_skyscraper) C++11
100 / 100
112 ms 19240 KB
#include <bits/stdc++.h>
using namespace std;
#define FOR(i,start,end) for(int i=start;i<(int)(end);i++)
#define FORE(i,start,end) for(int i=start;i<=(int)end;i++)
#define RFORE(i,start,end) for(int i = start; i>=end; i--)
#define all(a) a.begin(), a.end()
#define v vector
#define mp make_pair
typedef long long ll;
typedef pair<int, int > pii;
template<class T> void minn(T &a, T b) { a = min(a, b); }
template<class T> void maxx(T &a, T b) { a = max(a, b); }
void io() {
#ifdef LOCAL_PROJECT 
	freopen("input.in", "r", stdin); freopen("output.out", "w", stdout);
#else 
#endif 
	ios_base::sync_with_stdio(false); cin.tie(NULL);
}
/***************************JOI16_skyscraper*************************************/

int N, a[101], L;
int dp[101][101][3][1001];
/*
# ways to assign [i,N] with total abs <= L
given start with g groups, e ends, sum base value
*/
ll f(int i, int g, int e, int sum) {
	sum += (2 * g + e)*(a[i] - a[i - 1]);
	if (sum > L) return 0;
	if (i == N) {
		if (g == 0 && e!=0) return 1;
		else return 0;
	}
	if (dp[i][g][e][sum] == 0) {
		ll ret = 0;
		// join existing group
		if (g > 0 || e > 0) ret += f(i + 1, g, e, sum)*(2 * g + e);
		// make new group
		ret += f(i + 1, g + 1, e, sum)*(g + 1);
		// join two groups or ends
		if (g > 0) ret += f(i + 1, g - 1, e, sum)*(e + g - 1);
		// make new end, by itself
		if (e < 2) ret += f(i + 1, g, e + 1, sum)*(2 - e);
		// make new end, joined with a group
		if (e < 2 && g>0) ret += f(i + 1, g - 1, e + 1, sum)*(2 - e);
		ret %= 1000000007;
		if (ret > 0)
			dp[i][g][e][sum] = ret;
		else
			dp[i][g][e][sum] = -1;
	}
	if (dp[i][g][e][sum] > 0) return dp[i][g][e][sum];
	else return 0;
}

int main() {
	io();
	cin >> N >> L;
	if (N == 1) {
		cout << 1 << "\n";
		return 0;
	}
	FORE(i, 1, N) cin >> a[i];
	sort(a + 1, a + 1 + N);
	cout << f(1, 0, 0, 0) << "\n";
}
# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB Output is correct
2 Correct 3 ms 384 KB Output is correct
3 Correct 3 ms 384 KB Output is correct
4 Correct 2 ms 512 KB Output is correct
5 Correct 2 ms 512 KB Output is correct
6 Correct 2 ms 484 KB Output is correct
7 Correct 3 ms 512 KB Output is correct
8 Correct 3 ms 640 KB Output is correct
9 Correct 3 ms 512 KB Output is correct
10 Correct 3 ms 512 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 1024 KB Output is correct
2 Correct 2 ms 768 KB Output is correct
3 Correct 3 ms 1024 KB Output is correct
4 Correct 2 ms 768 KB Output is correct
5 Correct 2 ms 768 KB Output is correct
6 Correct 3 ms 896 KB Output is correct
7 Correct 2 ms 640 KB Output is correct
8 Correct 4 ms 1024 KB Output is correct
9 Correct 4 ms 1024 KB Output is correct
10 Correct 4 ms 768 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB Output is correct
2 Correct 3 ms 384 KB Output is correct
3 Correct 3 ms 384 KB Output is correct
4 Correct 2 ms 512 KB Output is correct
5 Correct 2 ms 512 KB Output is correct
6 Correct 2 ms 484 KB Output is correct
7 Correct 3 ms 512 KB Output is correct
8 Correct 3 ms 640 KB Output is correct
9 Correct 3 ms 512 KB Output is correct
10 Correct 3 ms 512 KB Output is correct
11 Correct 3 ms 1024 KB Output is correct
12 Correct 2 ms 768 KB Output is correct
13 Correct 3 ms 1024 KB Output is correct
14 Correct 2 ms 768 KB Output is correct
15 Correct 2 ms 768 KB Output is correct
16 Correct 3 ms 896 KB Output is correct
17 Correct 2 ms 640 KB Output is correct
18 Correct 4 ms 1024 KB Output is correct
19 Correct 4 ms 1024 KB Output is correct
20 Correct 4 ms 768 KB Output is correct
21 Correct 4 ms 2176 KB Output is correct
22 Correct 112 ms 19240 KB Output is correct
23 Correct 74 ms 9180 KB Output is correct
24 Correct 75 ms 12672 KB Output is correct
25 Correct 50 ms 9464 KB Output is correct
26 Correct 47 ms 9592 KB Output is correct
27 Correct 41 ms 15480 KB Output is correct
28 Correct 66 ms 17272 KB Output is correct
29 Correct 77 ms 17372 KB Output is correct
30 Correct 60 ms 9464 KB Output is correct