#include <bits/stdc++.h>
using namespace std;
// macros
typedef long long ll;
typedef long double ld;
typedef pair<int, int> ii;
typedef pair<ll, ll> lll;
typedef tuple<int, int, int> iii;
typedef vector<int> vi;
typedef vector<ii> vii;
typedef vector<iii> viii;
typedef vector<ll> vll;
typedef vector<lll> vlll;
#define REP(a,b,c) for(int a=int(b); a<int(c); a++)
#define RE(a,c) REP(a,0,c)
#define RE1(a,c) REP(a,1,c+1)
#define REI(a,b,c) REP(a,b,c+1)
#define REV(a,b,c) for(int a=int(c-1); a>=int(b); a--)
#define FOR(a,b) for(auto& a : b)
#define all(a) a.begin(), a.end()
#define INF 1e18
#define EPS 1e-9
#define pb push_back
#define popb pop_back
#define fi first
#define se second
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
// input
template<class T> void IN(T& x) {cin >> x;}
template<class H, class... T> void IN(H& h, T&... t) {IN(h); IN(t...); }
// output
template<class T1, class T2> void OUT(const pair<T1,T2>& x);
template<class T> void OUT(const vector<T>& x);
template<class T> void OUT(const T& x) {cout << x;}
template<class H, class... T> void OUT(const H& h, const T&... t) {OUT(h); OUT(t...); }
template<class T1, class T2> void OUT(const pair<T1,T2>& x) {OUT(x.fi,' ',x.se);}
template<class T> void OUT(const vector<T>& x) {RE(i,x.size()) OUT(i==0?"":" ",x[i]);}
template<class... T> void OUTL(const T&... t) {OUT(t..., "\n"); }
template<class H> void OUTLS(const H& h) {OUTL(h); }
template<class H, class... T> void OUTLS(const H& h, const T&... t) {OUT(h,' '); OUTLS(t...); }
// dp
template<class T> bool ckmin(T&a, T&b) { bool bl = a > b; a = min(a,b); return bl;}
template<class T> bool ckmax(T&a, T&b) { bool bl = a < b; a = max(a,b); return bl;}
void program();
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
program();
}
// mod library
ll MOD=1e9+7;
inline ll mod(ll x_) {
return (x_)%MOD;
}
ll modpow(ll x_, ll N_) {
if(N_ == 0) return 1;
ll a = modpow(x_,N_/2);
a = (a*a)%MOD;
if(N_%2) a = (a*x_)%MOD;
return a;
}
ll inv(ll x_) {
return modpow(x_, MOD-2);
}
class mi {
public:
mi(ll v=0) {value = v;}
mi operator+ (ll rs) {return mod(value+rs);}
mi operator- (ll rs) {return mod(value-rs+MOD);}
mi operator* (ll rs) {return mod(value*rs);}
mi operator/ (ll rs) {return mod(value*inv(rs));}
mi& operator+=(ll rs) {*this = (*this)+rs; return *this;}
mi& operator-=(ll rs) {*this = (*this)-rs; return *this;}
mi& operator*=(ll rs) {*this = (*this)*rs; return *this;}
mi& operator/=(ll rs) {*this = (*this)/rs; return *this;}
operator ll&() {return value;}
ll value;
};
typedef vector<mi> vmi;
//===================//
// begin program //
//===================//
const int MX = 110;
const int N = (1<<20);
int n, l, a[MX];
mi dp[MX][MX][MX*10][3];
void program() {
IN(n,l);
RE1(i,n) IN(a[i]);
sort(a+1,a+n+1);
a[n+1] = 1e4;
dp[0][0][0][0] = 1;
RE1(i,n) { // first i buildings
RE1(j,i) { // j components
RE(k,l+1) { // total cost
RE(m,3) { // m end points so far
int delta = (2*j - m)*(a[i+1]-a[i]);
if(delta > k || i + j + 1 - m > n) continue;
mi res = 0;
// create new component
res += dp[i-1][j-1][k - delta][m];
// create now component on endpoint
if(m) res += mi(3-m)*dp[i-1][j-1][k - delta][m-1];
// append to existing component
res += mi(2*j - m)*dp[i-1][j][k-delta][m];
// append to existing component on endpoint
if(m == 1) res += mi(2)*mi(j)*dp[i-1][j][k - delta][m-1];
if(m == 2) {
if(i == n) res += dp[i-1][j][k - delta][m-1];
else if(j > 1) res += mi(j - 1)*dp[i-1][j][k - delta][m-1];
}
// join two existing components
if(m == 2) {
if(i == n) res += dp[i-1][j+1][k - delta][m];
else res += mi(j)*mi(j-1)*dp[i-1][j+1][k - delta][m];
}
else if(m == 1) res += mi(j)*mi(j)*dp[i-1][j+1][k - delta][m];
else res += mi(j)*mi(j+1)*dp[i-1][j+1][k - delta][m];
dp[i][j][k][m] = res;
}
}
}
}
mi ans = 0;
RE(k,l+1) ans += dp[n][1][k][2];
OUTL(ll(ans));
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
219 ms |
312832 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
169 ms |
312744 KB |
Output is correct |
2 |
Correct |
166 ms |
312772 KB |
Output is correct |
3 |
Correct |
168 ms |
312856 KB |
Output is correct |
4 |
Correct |
169 ms |
312772 KB |
Output is correct |
5 |
Correct |
182 ms |
312760 KB |
Output is correct |
6 |
Correct |
194 ms |
312760 KB |
Output is correct |
7 |
Correct |
165 ms |
312852 KB |
Output is correct |
8 |
Correct |
179 ms |
312772 KB |
Output is correct |
9 |
Correct |
195 ms |
312788 KB |
Output is correct |
10 |
Correct |
183 ms |
312884 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
219 ms |
312832 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |