oj.uz

Submission #225412

# Submission time Handle Problem Language Result Execution time Memory
225412 2020-04-20T13:59:29 Z brcode Skyscraper (JOI16_skyscraper) C++14
100 / 100
 274 ms 403960 KB 
#include <iostream>
#include <bits/stdc++.h>

using namespace std;
const long long MAXN = 110;
const long long MOD = 1e9+7;
long long dp[MAXN][MAXN][1010][5];
long long arr[MAXN];
long long n,L;
long long rec(long long i,long long j,long long k,long long l){
    //dp[i][j][k][l] = first i numbers, j connected components, k = total sum and l = number of endpolong longs on which numbers have been placed
    if(i>0 && (j<1||l>2||k>L)){
        return 0;
    }
    if(i==n){
        
        return (j==1 && l==2);
    }
    if(dp[i][j][k][l]!=-1){
        return dp[i][j][k][l];
    }
    long long toadd = (arr[i+1]-arr[i])*(2*j-l) + k;//all positions adjacent to existing connected components must be incremented by the difference between adjacent elements in our array
    dp[i][j][k][l] = 0;
    dp[i][j][k][l] = (dp[i][j][k][l] + ((2*j-l)%MOD*rec(i+1,j,toadd,l)%MOD)%MOD)%MOD;//add on to an already existing connected component
    dp[i][j][k][l] = (dp[i][j][k][l] + ((j+1-l)%MOD*rec(i+1,j+1,toadd,l)%MOD)%MOD)%MOD;//add a new connected component
    dp[i][j][k][l] = (dp[i][j][k][l] + ((2-l)%MOD*rec(i+1,j+1,toadd,l+1)%MOD)%MOD)%MOD;//add a new connected component to an endpolong long
    dp[i][j][k][l] = (dp[i][j][k][l] + ((2-l)%MOD*rec(i+1,j,toadd,l+1)%MOD)%MOD)%MOD;//extend an already existing connected component to an endpolong long
    dp[i][j][k][l] = (dp[i][j][k][l] + ((j-1)%MOD*rec(i+1,j-1,toadd,l)%MOD)%MOD)%MOD;//merge 2 connected components
    return dp[i][j][k][l];
}
int main(){
    cin>>n>>L;
    for(long long i=1;i<=n;i++){
        cin>>arr[i];
    }
    sort(arr+1,arr+n+1);
    for(long long i=0;i<=n;i++){
        for(long long j=0;j<=n;j++){
            for(long long k=0;k<=L;k++){
                for(long long l=0;l<=3;l++){
                    dp[i][j][k][l] = -1;
                }
            }
        }
    }
    if(n==1){
        cout<<1<<endl;
        return 0;
    }
    cout<<rec(0,0,0,0)<<endl;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 4 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 768 KB Output is correct
5 Correct 6 ms 3584 KB Output is correct
6 Correct 6 ms 3456 KB Output is correct
7 Correct 5 ms 1152 KB Output is correct
8 Correct 5 ms 896 KB Output is correct
9 Correct 6 ms 3584 KB Output is correct
10 Correct 5 ms 1024 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 1536 KB Output is correct
2 Correct 5 ms 2176 KB Output is correct
3 Correct 5 ms 1664 KB Output is correct
4 Correct 5 ms 2176 KB Output is correct
5 Correct 5 ms 2176 KB Output is correct
6 Correct 5 ms 2048 KB Output is correct
7 Correct 5 ms 1536 KB Output is correct
8 Correct 5 ms 1664 KB Output is correct
9 Correct 5 ms 1920 KB Output is correct
10 Correct 6 ms 2048 KB Output is correct

Subtask #3
80.0 / 80.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 4 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 768 KB Output is correct
5 Correct 6 ms 3584 KB Output is correct
6 Correct 6 ms 3456 KB Output is correct
7 Correct 5 ms 1152 KB Output is correct
8 Correct 5 ms 896 KB Output is correct
9 Correct 6 ms 3584 KB Output is correct
10 Correct 5 ms 1024 KB Output is correct
11 Correct 5 ms 1536 KB Output is correct
12 Correct 5 ms 2176 KB Output is correct
13 Correct 5 ms 1664 KB Output is correct
14 Correct 5 ms 2176 KB Output is correct
15 Correct 5 ms 2176 KB Output is correct
16 Correct 5 ms 2048 KB Output is correct
17 Correct 5 ms 1536 KB Output is correct
18 Correct 5 ms 1664 KB Output is correct
19 Correct 5 ms 1920 KB Output is correct
20 Correct 6 ms 2048 KB Output is correct
21 Correct 9 ms 9856 KB Output is correct
22 Correct 212 ms 226552 KB Output is correct
23 Correct 262 ms 403960 KB Output is correct
24 Correct 235 ms 337784 KB Output is correct
25 Correct 265 ms 403960 KB Output is correct
26 Correct 229 ms 378872 KB Output is correct
27 Correct 103 ms 139512 KB Output is correct
28 Correct 113 ms 161656 KB Output is correct
29 Correct 196 ms 270072 KB Output is correct
30 Correct 274 ms 403960 KB Output is correct