Submission #290682

#TimeUsernameProblemLanguageResultExecution timeMemory
290682BertedSkyscraper (JOI16_skyscraper)C++14
100 / 100
165 ms2936 KiB
#pragma GCC optimize("Ofast") #pragma GCC target("avx,avx2,fma") #include <iostream> #include <algorithm> #define ll long long const int MD = 1e9 + 7; using namespace std; int n, l, ar[101], dp[2][101][1001][3]; int main() { ios :: sync_with_stdio(0); cin.tie(0); cout.tie(0); cin >> n >> l; if (n == 1) {cout << "1\n"; return 0;} for (int i = 0; i < n; i++) {cin >> ar[i];} sort(ar, ar + n); dp[1][1][0][0] = 1; dp[1][1][0][1] = 2; for (int i = 2; i <= n; i++) { for (int k = 0; k <= l; k++) { for (int m = 0; m <= 2; m++) {dp[i & 1][0][k][m] = 0;} } for (int j = 1; j <= i; j++) { for (int k = 0; k <= l; k++) { for (int m = 0; m <= 2; m++) { int v = ar[i - 1] - ar[i - 2]; dp[i & 1][j][k][m] = 0; if (k - (2 * j - 2 - m) * v >= 0) { dp[i & 1][j][k][m] = (dp[i & 1][j][k][m] + (ll)(j - m) * dp[~i & 1][j - 1][k - (2 * j - 2 - m) * v][m]) % MD; } if (k - (2 * j - m) * v >= 0) { dp[i & 1][j][k][m] = (dp[i & 1][j][k][m] + (ll)(2 * j - m) * dp[~i & 1][j][k - (2 * j - m) * v][m]) % MD; } if (k - (2 * j + 2 - m) * v >= 0 && j + 1 < i && (j >= m || i == n)) { dp[i & 1][j][k][m] = (dp[i & 1][j][k][m] + (ll)j * dp[~i & 1][j + 1][k - (2 * j + 2 - m) * v][m]) % MD; } if (k - (2 * j - m - 1) * v>= 0 && m) { dp[i & 1][j][k][m] = (dp[i & 1][j][k][m] + (ll)(3 - m) * dp[~i & 1][j - 1][k - (2 * j - m - 1) * v][m - 1]) % MD; } if (k - (2 * j - m + 1) * v>= 0 && m && (j >= m || i == n) && j < i) { dp[i & 1][j][k][m] = (dp[i & 1][j][k][m] + (ll)(3 - m) * dp[~i & 1][j][k - (2 * j - m + 1) * v][m - 1]) % MD; } } } } } int res = 0; for (int i = 0; i <= l; i++) { res = (res + dp[n & 1][1][i][2]) % MD; } cout << res << "\n"; return 0; }
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