oj.uz

Submission #515976

# Submission time Handle Problem Language Result Execution time Memory
515976 2022-01-20T08:54:34 Z amunduzbaev Skyscraper (JOI16_skyscraper) C++14
100 / 100
 68 ms 23876 KB 
#include "bits/stdc++.h"
using namespace std;

#define ar array
#define int long long

const int mod = 1e9 + 7;

const int N = 105;
int dp[N][N][N * 10][3];
int a[N];

signed main(){
	ios::sync_with_stdio(0); cin.tie(0);
	
	int n, l; cin>>n>>l;
	for(int i=0;i<n;i++) cin>>a[i];
	sort(a, a+n);
	a[n] = N * 10;
	if(n == 1){
		cout<<1<<"\n";
		return 0;
	}
	
	dp[1][1][(a[1] - a[0]) * 2][0] = 1;
	dp[1][1][a[1] - a[0]][1] = 2;
	
	for(int i=1;i<n;i++){
		int dif = a[i+1] - a[i];
		for(int j=1;j<=n;j++){
			for(int c=0;c<=l;c++){
				for(int z=0;z<3;z++){
					if(!dp[i][j][c][z]) continue;
					
					if(z < 2 && c + dif * (2 * j - z - 1) <= l){
						if(i == n - 1){
							dp[i + 1][j][c + dif * (2 * j - z - 1)][z + 1] = 
							(dp[i + 1][j][c + dif * (2 * j - z - 1)][z + 1] + dp[i][j][c][z] * (2 - z)) % mod;
						} else if((z == 1 && j > 1) || z == 0){
							dp[i + 1][j][c + dif * (2 * j - z - 1)][z + 1] = 
							(dp[i + 1][j][c + dif * (2 * j - z - 1)][z + 1] + dp[i][j][c][z] * (j - z) * (2 - z)) % mod;
						} 
						
						if(c + dif * (2 * j - z + 1) <= l){
							dp[i + 1][j + 1][c + dif * (2 * j - z + 1)][z + 1] = 
							(dp[i + 1][j + 1][c + dif * (2 * j - z + 1)][z + 1] + dp[i][j][c][z] * (2 - z)) % mod;
						}
					}
					
					// make new component
					if(c + dif * (2 * j - z + 2) <= l){
						dp[i + 1][j + 1][c + dif * (2 * j - z + 2)][z] = 
						(dp[i + 1][j + 1][c + dif * (2 * j - z + 2)][z] + dp[i][j][c][z]) % mod;
					}
					
					// add to some component
					if(c + dif * (2 * j - z) <= l){
						dp[i + 1][j][c + dif * (2 * j - z)][z] = 
						(dp[i + 1][j][c + dif * (2 * j - z)][z] + dp[i][j][c][z] * (2 * j - z)) % mod;
					}
					
					if(c + dif * (2 * j - z - 2) <= l && j >= 2 && (z < 2 || i == n - 1 || j > 2)){
						if(z == 0){
							dp[i + 1][j - 1][c + dif * (2 * j - z - 2)][z] = 
							(dp[i + 1][j - 1][c + dif * (2 * j - z - 2)][z] + dp[i][j][c][z] * j * (j - 1)) % mod;
						}
						
						if(z == 1){
							dp[i + 1][j - 1][c + dif * (2 * j - z - 2)][z] = 
							(dp[i + 1][j - 1][c + dif * (2 * j - z - 2)][z] + dp[i][j][c][z] * (j - 1) * (j - 1)) % mod;
						}
						
						if(z == 2){
							dp[i + 1][j - 1][c + dif * (2 * j - z - 2)][z] = 
							(dp[i + 1][j - 1][c + dif * (2 * j - z - 2)][z] + dp[i][j][c][z] * max(1ll, (j - 2) * (j - 1))) % mod;
						}
					}
				}
			}
		}
	}
	
	int res = 0;
	for(int i=0;i<=l;i++){
		res = (res + dp[n][1][i][2]) % mod;
	}
	
	cout<<res<<"\n";
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 1 ms 420 KB Output is correct
3 Correct 1 ms 312 KB Output is correct
4 Correct 1 ms 316 KB Output is correct
5 Correct 1 ms 460 KB Output is correct
6 Correct 1 ms 448 KB Output is correct
7 Correct 1 ms 316 KB Output is correct
8 Correct 1 ms 460 KB Output is correct
9 Correct 1 ms 460 KB Output is correct
10 Correct 1 ms 440 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 588 KB Output is correct
2 Correct 1 ms 460 KB Output is correct
3 Correct 1 ms 588 KB Output is correct
4 Correct 1 ms 460 KB Output is correct
5 Correct 1 ms 460 KB Output is correct
6 Correct 1 ms 588 KB Output is correct
7 Correct 1 ms 460 KB Output is correct
8 Correct 1 ms 572 KB Output is correct
9 Correct 1 ms 716 KB Output is correct
10 Correct 1 ms 460 KB Output is correct

Subtask #3
80.0 / 80.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 1 ms 420 KB Output is correct
3 Correct 1 ms 312 KB Output is correct
4 Correct 1 ms 316 KB Output is correct
5 Correct 1 ms 460 KB Output is correct
6 Correct 1 ms 448 KB Output is correct
7 Correct 1 ms 316 KB Output is correct
8 Correct 1 ms 460 KB Output is correct
9 Correct 1 ms 460 KB Output is correct
10 Correct 1 ms 440 KB Output is correct
11 Correct 1 ms 588 KB Output is correct
12 Correct 1 ms 460 KB Output is correct
13 Correct 1 ms 588 KB Output is correct
14 Correct 1 ms 460 KB Output is correct
15 Correct 1 ms 460 KB Output is correct
16 Correct 1 ms 588 KB Output is correct
17 Correct 1 ms 460 KB Output is correct
18 Correct 1 ms 572 KB Output is correct
19 Correct 1 ms 716 KB Output is correct
20 Correct 1 ms 460 KB Output is correct
21 Correct 2 ms 1228 KB Output is correct
22 Correct 58 ms 23876 KB Output is correct
23 Correct 67 ms 8040 KB Output is correct
24 Correct 60 ms 11936 KB Output is correct
25 Correct 66 ms 9272 KB Output is correct
26 Correct 67 ms 8444 KB Output is correct
27 Correct 30 ms 9748 KB Output is correct
28 Correct 37 ms 11984 KB Output is correct
29 Correct 53 ms 16444 KB Output is correct
30 Correct 68 ms 9312 KB Output is correct