Submission #200726

# Submission time Handle Problem Language Result Execution time Memory
200726 2020-02-08T04:44:22 Z dimash241 Boat (APIO16_boat) C++17
0 / 100
1759 ms 18500 KB
#pragma GCC target("avx2")
#pragma GCC optimize("O3")
 
# include <x86intrin.h>
# include <bits/stdc++.h>
 
# include <ext/pb_ds/assoc_container.hpp>
# include <ext/pb_ds/tree_policy.hpp>
 
using namespace __gnu_pbds;
using namespace std;
 
template<typename T> using ordered_set = tree <T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
 
#define _USE_MATH_DEFINES_
#define ll long long
#define ld long double
#define Accepted 0
#define pb push_back
#define mp make_pair
#define sz(x) (int)(x.size())
#define every(x) x.begin(),x.end()
#define F first
#define S second
#define lb lower_bound
#define ub upper_bound
#define For(i,x,y)  for (ll i = x; i <= y; i ++) 
#define FOr(i,x,y)  for (ll i = x; i >= y; i --)
#define SpeedForce ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0)
// ROAD to...                                                                                                                                                                                                                Red
 
inline void Input_Output () {
	//freopen(".in", "r", stdin);
   //freopen(".out", "w", stdout);
}
 
const double eps = 0.000001;
const ld pi = acos(-1);
const int maxn = 1e7 + 9;
const int mod = 1e9 + 7;
const ll MOD = 1e18 + 9;
const ll INF = 1e18 + 123;
const int inf = 2e9 + 11;
const int mxn = 1e6 + 9;
const int N = 6e5 + 123;                                          
const int M = 22;
const int pri = 997;
const int Magic = 2101;
 
const int dx[] = {-1, 0, 1, 0};
const int dy[] = {0, -1, 0, 1};
 
int n;
ll dp[505][1010];
ll p[1001][1010];
int C1[1001][1001];
int C2[1001][1001];
int l[505], r[505];
int vv[N], ptr;
ll inv[N];
ll pw[N];
 
ll bpow (ll a, ll b) {
	ll res = 1;
	while (b > 0) {
		if (b & 1) (res *= a) %= mod;
		(a *= a) %= mod;
		b /= 2;
	}
	return res;
}
 
 
ll C(ll n, int k) {
	ll res = inv[k];
	for (int i = 0; i < k; ++i) {
		res *= (n - i);
		res %= mod;
	}
  
	return res;
}      
 
int main () {
   	SpeedForce;
 
	inv[0] = 1;
	pw[0] = 1;
	for (int i = 1; i < 1001;i ++) {
		inv[i] = inv[i-1] * bpow(i, mod - 2) % mod;
		pw[i] = (pw[i-1] + pw[i-1]) % mod;
	}
 
	cin >> n;
 
	for (int i = 1; i <= n; ++i) {
		cin >> l[i] >> r[i];
		r[i]++;
		vv[ptr++] = l[i];
		vv[ptr++] = r[i];
	}
	sort(vv, vv + ptr);
	ptr = unique(vv, vv + ptr) - vv;
	for (int i = 0; i < ptr; ++i) dp[0][i] = 1;
    for (int i = 1; i < ptr; ++i) {
		for (int j = 1; j <= n; ++j)
			C2[i][j] = C(vv[i] - vv[i-1], j);
	}
 
	for (int i = 0; i <= n; ++i)
		C1[i][i] = C1[i][0] = 1;

	for (int i = 1; i <= n; ++i) {
		for (int j = 1; j < i; ++j)
			C1[i][j] = (C1[i-1][j] + C1[i-1][j-1]) % mod;
	}
 
	for (int i = 1; i < ptr; ++i) {
		for (int k = 1; k <= n; ++k) {
			for (int j = 1; j <= k; ++j)
				p[i][k] = (p[i][k] + C2[i][j] * (ll)C1[k-1][j-1]) % mod;
		}
	}

	for (int i = 0; i < ptr; ++i)
		dp[0][i] = 1;
	for (int i = 0; i <= n; ++i)
		dp[i][0] = 1;
 
	for (int i = 1; i <= n; ++i) {
		for (int j = 1; j < ptr; ++j) {
			dp[i][j] = dp[i][j-1];
 
			int cnt = 0;
 
			for (int k = i; k>=1; --k) {
				if (l[k] <= vv[j-1] && vv[j] <= r[k]) {
					++cnt;
					dp[i][j] = (dp[i][j] + dp[k-1][j-1] * p[j][cnt]) % MOD;
				}
			}
		}
	}
 
	int ans = (dp[n][ptr-1] - 1 + mod) % mod;
	assert(ans >= 0);
 
	cout << ans << '\n';
	return Accepted;
}
 
// B...a
# Verdict Execution time Memory Grader output
1 Correct 1748 ms 18500 KB Output is correct
2 Correct 1753 ms 18436 KB Output is correct
3 Correct 1759 ms 18256 KB Output is correct
4 Correct 1757 ms 18468 KB Output is correct
5 Incorrect 1748 ms 18256 KB Output isn't correct
6 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1748 ms 18500 KB Output is correct
2 Correct 1753 ms 18436 KB Output is correct
3 Correct 1759 ms 18256 KB Output is correct
4 Correct 1757 ms 18468 KB Output is correct
5 Incorrect 1748 ms 18256 KB Output isn't correct
6 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 20 ms 3064 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1748 ms 18500 KB Output is correct
2 Correct 1753 ms 18436 KB Output is correct
3 Correct 1759 ms 18256 KB Output is correct
4 Correct 1757 ms 18468 KB Output is correct
5 Incorrect 1748 ms 18256 KB Output isn't correct
6 Halted 0 ms 0 KB -