Submission #1080733

#TimeUsernameProblemLanguageResultExecution timeMemory
1080733MamedovSkyscraper (JOI16_skyscraper)C++17
15 / 100
1 ms604 KiB
#pragma GCC optimize ("O3") #include <bits/stdc++.h> //#include<ext/pb_ds/assoc_container.hpp> //#include<ext/pb_ds/tree_policy.hpp> #define pii pair<int, int> #define piii pair<pii, int> #define vi vector<int> #define vll vector<ll> #define vvi vector<vi> #define vpii vector<pii> #define vvpii vector<vpii> #define f first #define s second #define oo 1000000001 #define eb emplace_back #define pb push_back #define mpr make_pair #define size(v) (int)v.size() #define ln '\n' #define ull unsigned long long #define ll long long #define all(v) v.begin(), v.end() #define iospeed ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0) using namespace std; mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); //using namespace __gnu_pbds; //template <typename T> //using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>; template <typename T> void show(vector<T> &v) { for (T i : v) { cout << i << ' '; } cout << ln; } const int MAXN = 102; const int MAXL = 1003; const int MOD = 1e9 + 7; int dp[MAXN][MAXN][MAXL][3]; void solve() { int n, l; cin >> n >> l; vi a(n + 1); for (int i = 1; i <= n; ++i) { cin >> a[i]; } if (n == 1) { cout << (a[1] <= l ? 1 : 0) << ln; return; } sort(a.begin() + 1, a.end()); dp[0][0][0][0] = 1; for (int i = 1; i <= n; ++i) { int diff = (i == n ? 0 : a[i + 1] - a[i]); for (int j = 0; j < i; ++j) { for (int s = 0; s <= l; ++s) { for (int k = 0; k < 3; ++k) { if (!dp[i - 1][j][s][k]) continue; int sum = s + (2 * j + 2 - k) * diff; if (sum <= l) dp[i][j + 1][sum][k] = (1ll * (j + 1 - k) * dp[i - 1][j][s][k] + dp[i][j + 1][sum][k]) % MOD; // new group (not an end position) if (k < 2) { sum = s + (2 * j + 1 - k) * diff; if (sum <= l) dp[i][j + 1][sum][k + 1] = (1ll * (2 - k) * dp[i - 1][j][s][k] + dp[i][j + 1][sum][k + 1]) % MOD; // new group (an end position) } if (j) { sum = s + (2 * j - k) * diff; if (sum <= l) dp[i][j][sum][k] = (1ll * (2 * j - k) * dp[i - 1][j][s][k] + dp[i][j][sum][k]) % MOD; // next to a group (not an end position) if (k < 2) { sum = s + (2 * j - k - 1) * diff; if (sum <= l) dp[i][j][sum][k + 1] = (1ll * (2 - k) * dp[i - 1][j][s][k] + dp[i][j][sum][k + 1]) % MOD; // next to a group (an end position) } } if (j >= 2) { sum = s + (2 * j - 2 - k) * diff; if (sum <= l) dp[i][j - 1][sum][k] = (1ll * (j - 1) * dp[i - 1][j][s][k] + dp[i][j - 1][sum][k]) % MOD; // combine two groups } } } } } int res = 0; for (int i = 0; i <= l; ++i) { res += dp[n][1][i][2]; if (res >= MOD) res -= MOD; } cout << res << ln; } int main() { iospeed; solve(); return 0; }
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