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Submission #1085135

# Submission time Handle Problem Language Result Execution time Memory
1085135 2024-09-07T15:15:33 Z anhthi Skyscraper (JOI16_skyscraper) C++14
100 / 100
 42 ms 832 KB 
#include <bits/stdc++.h>

using namespace std;

#define fi first
#define se second
#define ll long long
#define mp(x, y) make_pair(x, y)
#define sz(v) ((int) (v).size())
#define all(v) (v).begin(), (v).end()
#define MASK(i) (1LL << (i))
#define BIT(x, y) (((x) >> (y)) & 1)
#define pb push_back
#define max_rng *max_element
#define min_rng *min_element
#define rep(i, n) for(int i = 1, _n = (n); i <= _n; ++i)
#define forn(i, a, b) for(int i = (a), _b = (b); i <= _b; ++i)
#define ford(i, a, b) for(int i = (a), _b = (b); i >= _b; --i)

template <class X, class Y>
    inline bool maximize(X &x, Y y) {
        return (x < y ? x = y, true : false);
    }

template <class X, class Y>
    inline bool minimize(X &x, Y y) {
        return (x > y ? x = y, true : false);
    }

template <class X>
    inline void compress(vector<X> &a) {
        sort(all(a));
        a.resize(unique(all(a)) - a.begin());
    }

int ctz(ll x) { return __builtin_ctzll(x); }
int lg(ll x) { return 63 - __builtin_clzll(x); }
int popcount(ll x) { return __builtin_popcount(x); }

mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
ll rand(ll l, ll r) {
    return l + abs((ll) rng()) % (r - l + 1);
}

const ll oo = (ll) 1e17;
const int inf = (ll) 2e9 + 7, mod = (ll) 1e9 + 7;

const int mxn = 1e2, mxm = 1e3;
const int LG = 18, BASE = 311;

void add(int &x, int y) {
    x += y;
    if (x >= mod) x -= mod;
}
void sub(int &x, int y) {
    x -= y;
    if (x < 0) x += mod;
}

int n, L;
int a[mxn + 5];

int f[2][mxn + 5][mxm + 5][3];

int main(void) {

    ios_base::sync_with_stdio(0);
    cin.tie(0); cout.tie(0);

    cin >> n >> L;
    rep(i, n) cin >> a[i];

    sort(a + 1, a + 1 + n);

    if (n == 1) return cout << 1 << '\n', 0;

    f[1][1][0][0] = 1;
    f[1][1][0][1] = 2;
    forn(i, 2, n) {
        forn(cc, 1, n) forn(sum, 0, L) forn(ends, 0, 2) {
            int &val = f[(i-1)&1][cc][sum][ends];
            if (!val) continue;
            int new_sum = sum + 1LL * (2 * cc - ends) * (a[i] - a[i-1]);
            if (new_sum <= L) {
                {
                    //add new component
                    add(f[i & 1][cc + 1][new_sum][ends], 1LL * (cc + 1 - ends) * val % mod);
                    add(f[i & 1][cc + 1][new_sum][ends + 1], 1LL * (2 - ends) * val % mod);
                }

                {
                    // appends to components
                    add(f[i & 1][cc][new_sum][ends], 1LL * (2 * cc - ends) * val % mod);
                    add(f[i & 1][cc][new_sum][ends + 1], 1LL * (2 - ends) * val % mod);
                }

                {
                    // merge two components
                    add(f[i & 1][cc - 1][new_sum][ends], 1LL * (cc - 1) * val % mod);
                }
            }
            val = 0;
        }
    }

    int ans = 0;
    forn(sum, 0, L) add(ans, f[n & 1][1][sum][2]);

    cout << ans;

    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct

Subtask #3
80.0 / 80.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 344 KB Output is correct
22 Correct 33 ms 832 KB Output is correct
23 Correct 31 ms 600 KB Output is correct
24 Correct 27 ms 604 KB Output is correct
25 Correct 32 ms 748 KB Output is correct
26 Correct 27 ms 604 KB Output is correct
27 Correct 11 ms 604 KB Output is correct
28 Correct 14 ms 604 KB Output is correct
29 Correct 27 ms 600 KB Output is correct
30 Correct 42 ms 600 KB Output is correct