oj.uz

Submission #39903

# Submission time Handle Problem Language Result Execution time Memory
39903 2018-01-23T16:35:20 Z nickyrio Skyscraper (JOI16_skyscraper) C++14
100 / 100
 329 ms 269136 KB 
#include <bits/stdc++.h>
#define FOR(i, a, b) for (int i = a; i<= b; ++i)
#define FORD(i, a, b) for (int i = a; i>=b; --i)
#define REP(i, a) for (int i = 0; i<a; ++i)
#define DEBUG(x) { cerr << #x << " = " << x << endl; }
#define Arr(A, l, r) { cerr << #A  << " = "; FOR(_, l, r) cerr << A[_] << ' '; cerr << endl; }
#define N 111
#define pp pair<int, int>
#define next __next
#define prev __prev
#define __builtin_popcount __builtin_popcountll
#define bit(S, i) (((S) >> i) & 1)
#define IO cin.tie(NULL);cout.tie(NULL);
using namespace std;

int n, a[N], lim;

const int MOD = 1e9 + 7;
bool used[N][N][N * 10][2][2];
int dp[N][N][N * 10][2][2];
// 1 : Put u positions
// 2 : Now have cc connected components
// 3 : Different equal diff
// 4 : Front is chosen
// 5 : Back is chosen
void Add(int &a, int b) { a += b; if (a >= MOD) a -= MOD; }
int Mul(int a, int b) { return 1ll * a * b % MOD; }

int cal(int u, int cc, int diff, int fc, int bc) {
    diff += u == 0 ? 0 : (a[u] - a[u - 1]) * (2 * cc - fc - bc);
    if (diff > lim) return 0;
    if (u == n) {
        if (!(fc & bc)) return 0;
        return cc == 1;
    }
    if (used[u][cc][diff][fc][bc]) return dp[u][cc][diff][fc][bc];
    used[u][cc][diff][fc][bc] = 1;

    int &ret = dp[u][cc][diff][fc][bc] = 0;
    // Create new connected component
        Add(ret, Mul(cal(u + 1, cc + 1, diff, fc, bc), cc + 1 - fc - bc));
        // At front
        if (!fc) Add(ret, cal(u + 1, cc + 1, diff, 1, bc));
        // At back
        if (!bc) Add(ret, cal(u + 1, cc + 1, diff, fc, 1));
    if (cc > 0) {
    // Connect two components
        if (cc > 1) Add(ret, Mul(cal(u + 1, cc - 1, diff, fc, bc), cc - 1));
    //Enlarge connected component
        Add(ret, Mul(cal(u + 1, cc, diff, fc, bc), 2 * cc - fc - bc));
        // At front
        if (!fc) Add(ret, cal(u + 1, cc, diff, 1, bc));
        // At back
        if (!bc) Add(ret, cal(u + 1, cc, diff, fc, 1));
    }
    return ret;
}


int main() {
    IO;
    cin >> n >> lim;
    REP(i, n) cin >> a[i];
    if (n == 1) {
        cout << 1;
        return 0;
    }
    sort(a, a + n);
    cout << cal(0, 0, 0, 0, 0);
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 269136 KB Output is correct
2 Correct 0 ms 269136 KB Output is correct
3 Correct 0 ms 269136 KB Output is correct
4 Correct 0 ms 269136 KB Output is correct
5 Correct 0 ms 269136 KB Output is correct
6 Correct 0 ms 269136 KB Output is correct
7 Correct 0 ms 269136 KB Output is correct
8 Correct 0 ms 269136 KB Output is correct
9 Correct 0 ms 269136 KB Output is correct
10 Correct 0 ms 269136 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 269136 KB Output is correct
2 Correct 1 ms 269136 KB Output is correct
3 Correct 1 ms 269136 KB Output is correct
4 Correct 1 ms 269136 KB Output is correct
5 Correct 1 ms 269136 KB Output is correct
6 Correct 1 ms 269136 KB Output is correct
7 Correct 0 ms 269136 KB Output is correct
8 Correct 1 ms 269136 KB Output is correct
9 Correct 1 ms 269136 KB Output is correct
10 Correct 1 ms 269136 KB Output is correct

Subtask #3
80.0 / 80.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 269136 KB Output is correct
2 Correct 0 ms 269136 KB Output is correct
3 Correct 0 ms 269136 KB Output is correct
4 Correct 0 ms 269136 KB Output is correct
5 Correct 0 ms 269136 KB Output is correct
6 Correct 0 ms 269136 KB Output is correct
7 Correct 0 ms 269136 KB Output is correct
8 Correct 0 ms 269136 KB Output is correct
9 Correct 0 ms 269136 KB Output is correct
10 Correct 0 ms 269136 KB Output is correct
11 Correct 1 ms 269136 KB Output is correct
12 Correct 1 ms 269136 KB Output is correct
13 Correct 1 ms 269136 KB Output is correct
14 Correct 1 ms 269136 KB Output is correct
15 Correct 1 ms 269136 KB Output is correct
16 Correct 1 ms 269136 KB Output is correct
17 Correct 0 ms 269136 KB Output is correct
18 Correct 1 ms 269136 KB Output is correct
19 Correct 1 ms 269136 KB Output is correct
20 Correct 1 ms 269136 KB Output is correct
21 Correct 3 ms 269136 KB Output is correct
22 Correct 329 ms 269136 KB Output is correct
23 Correct 151 ms 269136 KB Output is correct
24 Correct 150 ms 269136 KB Output is correct
25 Correct 115 ms 269136 KB Output is correct
26 Correct 115 ms 269136 KB Output is correct
27 Correct 63 ms 269136 KB Output is correct
28 Correct 116 ms 269136 KB Output is correct
29 Correct 238 ms 269136 KB Output is correct
30 Correct 112 ms 269136 KB Output is correct