Submission #339705

# Submission time Handle Problem Language Result Execution time Memory
339705 2020-12-26T02:55:35 Z eyangch Tents (JOI18_tents) C++17
100 / 100
134 ms 70784 KB
#include <bits/stdc++.h>

using namespace std;

long long MOD = 1e9+7;

int H, W;
long long dp[3001][3001];

signed main(){
    cin >> H >> W;
    for(int i = 0; i <= W; i++) dp[0][i] = 1; // one way to make nothing
    for(int i = 0; i <= H; i++) dp[i][0] = 1;
    for(int i = 1; i <= H; i++){
        for(int j = 1; j <= W; j++){
            if(i > 0){
                dp[i][j] += dp[i-1][j]; // nothing on row i up to j
            }if(i > 0 && j > 0){
                dp[i][j] += 4 * j * dp[i-1][j-1]; // one "unattached" tent on row i up to j
            }if(i > 0 && j > 1){
                dp[i][j] += j * (j-1) / 2 * dp[i-1][j-2]; // two attached tents facing each other on row i up to j
            }if(i > 1 && j > 0){
                dp[i][j] += j * (i-1) * dp[i-2][j-1]; // one tent on row i attached to another from prev (0...i-1)
            }
            dp[i][j] %= MOD;
        }
    }
    cout << (dp[H][W]-1+MOD) % MOD << endl;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 492 KB Output is correct
4 Correct 1 ms 1132 KB Output is correct
5 Correct 1 ms 768 KB Output is correct
6 Correct 1 ms 1388 KB Output is correct
7 Correct 1 ms 876 KB Output is correct
8 Correct 1 ms 1516 KB Output is correct
9 Correct 1 ms 876 KB Output is correct
10 Correct 2 ms 1916 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 2 ms 2284 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 492 KB Output is correct
4 Correct 1 ms 1132 KB Output is correct
5 Correct 1 ms 768 KB Output is correct
6 Correct 1 ms 1388 KB Output is correct
7 Correct 1 ms 876 KB Output is correct
8 Correct 1 ms 1516 KB Output is correct
9 Correct 1 ms 876 KB Output is correct
10 Correct 2 ms 1916 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 2 ms 2284 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 5 ms 9708 KB Output is correct
15 Correct 88 ms 55148 KB Output is correct
16 Correct 6 ms 4076 KB Output is correct
17 Correct 23 ms 12908 KB Output is correct
18 Correct 25 ms 17132 KB Output is correct
19 Correct 109 ms 63040 KB Output is correct
20 Correct 91 ms 50924 KB Output is correct
21 Correct 53 ms 34028 KB Output is correct
22 Correct 53 ms 35436 KB Output is correct
23 Correct 34 ms 27116 KB Output is correct
24 Correct 128 ms 70784 KB Output is correct
25 Correct 100 ms 61164 KB Output is correct
26 Correct 116 ms 66540 KB Output is correct
27 Correct 134 ms 68972 KB Output is correct