Submission #526590

# Submission time Handle Problem Language Result Execution time Memory
526590 2022-02-15T12:06:26 Z XEMPLI5 Tents (JOI18_tents) C++17
100 / 100
83 ms 73092 KB
#include <bits/stdc++.h>
using namespace std;

#define gc getchar_unlocked
#define fo(i, n) for (int i = 0; i < n; i++)
#define rfo(i, n) for (int i = n - 1; i >= 0; i--)
#define REP(i, a, b) for (int i = a; i < b; i++)
#define RREP(i, a, b) for (int i = a; i >= b; i--)
#define ll long long
#define si(x) scanf("%d", &x)
#define sl(x) scanf("%lld", &x)
#define ss(s) scanf("%s", s)
#define pi(x) printf("%d\n", x)
#define pl(x) printf("%lld\n", x)
#define ps(s) printf("%s\n", s)
#define deb(x) cout << #x << "=" << x << endl
#define deb2(x, y) cout << #x << "=" << x << "," << #y << "=" << y << endl
#define deb3(x, y, z) cout << #x << "=" << x << "," << #y << "=" << y << "," << #z << "=" << z << endl
#define pb push_back
#define mp make_pair
#define F first
#define S second
#define all(x) x.begin(), x.end()
#define clr(x) memset(x, 0, sizeof(x))
#define sortall(x) sort(all(x))
#define tr(it, a) for (auto it = a.begin(); it != a.end(); it++)
#define PI 3.1415926535897932384626

typedef pair<int, int> pii;
typedef pair<ll, ll> pl;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<pii> vpii;
typedef vector<pl> vpl;
typedef vector<vi> vvi;
typedef vector<vl> vvl;

int mpow(int base, int exp);
void dfs(int u, int par);

const int mod = 1'000'000'007;
const int N = 3000 + 100, M = N;

vi g[N];
ll dp[N][N], ans[N];

void solve()
{
    int h, w;
    cin >> h >> w;
    // dp[i][j] i free rows, j free coloumns
    ll ans = 0;
    fo(i, h + 1)
    {
        fo(j, w + 1)
        {
            if (i == 0 || j == 0)
                dp[i][j] = 1;
            else
            {
                // place nothing
                dp[i][j] += dp[i - 1][j];
                // place any one tent
                dp[i][j] += (4 * j * dp[i - 1][j - 1]);
                // place < >
                if (j >= 2)
                    dp[i][j] += ((((j * (j - 1)) / 2)) * dp[i - 1][j - 2]);
                // place up down
                if (i >= 2)
                    dp[i][j] += (((j * (i - 1))) * (dp[i - 2][j - 1]));
                dp[i][j] %= mod;
            }
        }
    }
    ans = dp[h][w] - 1;
    ans %= mod;
    ans += mod;
    ans %= mod;
    cout << ans << '\n';
    return;
}

int main()
{
    ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0);
    srand(chrono::high_resolution_clock::now().time_since_epoch().count());

    int t = 1;
    int cs = 0;
    while (t - cs)
    {
        solve();
        cs++;
    }

    return 0;
}

int mpow(int base, int exp)
{
    base %= mod;
    int result = 1;
    while (exp > 0)
    {
        if (exp & 1)
            result = ((ll)result * base) % mod;
        base = ((ll)base * base) % mod;
        exp >>= 1;
    }
    return result;
}

void ipgraph(int n, int m)
{
    int u, v;
    while (m--)
    {
        cin >> u >> v;
        u--, v--;
        g[u].pb(v);
        g[v].pb(u);
    }
}

void dfs(int u, int par)
{
    for (int v : g[u])
    {
        if (v == par)
            continue;
        dfs(v, u);
    }
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 392 KB Output is correct
3 Correct 1 ms 588 KB Output is correct
4 Correct 1 ms 1228 KB Output is correct
5 Correct 1 ms 776 KB Output is correct
6 Correct 1 ms 1356 KB Output is correct
7 Correct 1 ms 908 KB Output is correct
8 Correct 1 ms 1484 KB Output is correct
9 Correct 1 ms 844 KB Output is correct
10 Correct 1 ms 1868 KB Output is correct
11 Correct 1 ms 460 KB Output is correct
12 Correct 2 ms 2252 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 392 KB Output is correct
3 Correct 1 ms 588 KB Output is correct
4 Correct 1 ms 1228 KB Output is correct
5 Correct 1 ms 776 KB Output is correct
6 Correct 1 ms 1356 KB Output is correct
7 Correct 1 ms 908 KB Output is correct
8 Correct 1 ms 1484 KB Output is correct
9 Correct 1 ms 844 KB Output is correct
10 Correct 1 ms 1868 KB Output is correct
11 Correct 1 ms 460 KB Output is correct
12 Correct 2 ms 2252 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 4 ms 9676 KB Output is correct
15 Correct 49 ms 55224 KB Output is correct
16 Correct 3 ms 4044 KB Output is correct
17 Correct 13 ms 12912 KB Output is correct
18 Correct 17 ms 17100 KB Output is correct
19 Correct 60 ms 62952 KB Output is correct
20 Correct 47 ms 50888 KB Output is correct
21 Correct 32 ms 33856 KB Output is correct
22 Correct 35 ms 35388 KB Output is correct
23 Correct 21 ms 27076 KB Output is correct
24 Correct 77 ms 73092 KB Output is correct
25 Correct 58 ms 62916 KB Output is correct
26 Correct 68 ms 68708 KB Output is correct
27 Correct 83 ms 71200 KB Output is correct