Submission #648623

#TimeUsernameProblemLanguageResultExecution timeMemory
648623BackNoobSkyscraper (JOI16_skyscraper)C++14
100 / 100
57 ms15916 KiB
#include <bits/stdc++.h> #define ll long long #define fi first #define se second #define endl '\n' #define MASK(i) (1LL << (i)) #define ull unsigned long long #define ld long double #define pb push_back #define all(x) (x).begin() , (x).end() #define BIT(x , i) ((x >> (i)) & 1) #define TASK "task" #define sz(s) (int) (s).size() using namespace std; const int mxN = 5e5 + 227; const int inf = 1e9 + 277; const int mod = 1e9 + 7; const ll infll = 1e18 + 7; const int base = 307; const int LOG = 20; template <typename T1, typename T2> bool minimize(T1 &a, T2 b) { if (a > b) {a = b; return true;} return false; } template <typename T1, typename T2> bool maximize(T1 &a, T2 b) { if (a < b) {a = b; return true;} return false; } int n; int lim; int a[mxN]; int diff[mxN]; int dp[107][107][1007][3]; void add(int &a, int b) { a += b; if(a >= mod) a -= mod; } void solve() { cin >> n >> lim; for(int i = 1; i <= n; i++) cin >> a[i]; sort(a + 1, a + 1 + n); for(int i = 1; i <= n; i++) diff[i] = a[i] - a[i - 1]; dp[1][1][0][0] = 1; dp[1][1][0][1] = 2; dp[1][1][0][2] = 1; for(int i = 1; i < n; i++) { for(int j = 0; j <= i; j++) { for(int sum = 0; sum <= lim; sum++) { for(int k = 0; k < 3; k++) { if(dp[i][j][sum][k] == 0) continue; int cur = dp[i][j][sum][k]; int newsum = sum + (j * 2 - k) * diff[i + 1]; if(newsum > lim) continue; // case 1 create comp add(dp[i + 1][j + 1][newsum][k], 1LL * cur * (j + 1 - k) % mod); // fill begin or end if(k < 2) { add(dp[i + 1][j + 1][newsum][k + 1], 1LL * (2 - k) * cur % mod); add(dp[i + 1][j][newsum][k + 1], 1LL * (2 - k) * cur % mod); } // case 2 merge comp if(j > 1) { add(dp[i + 1][j - 1][newsum][k], 1LL * cur * (j - 1) % mod); } // case 3 add add(dp[i + 1][j][newsum][k], 1LL * cur * (j * 2 - k) % mod); } } } } int res = 0; for(int i = 0; i <= lim; i++) add(res, dp[n][1][i][2]); cout << res; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); //freopen(TASK".inp" , "r" , stdin); //freopen(TASK".out" , "w" , stdout); int tc = 1; //cin >> tc; while(tc--) { solve(); } return 0; }
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